Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "positive solutions" wg kryterium: Temat

  Lista filtrów
Wyrównaj
Wyświetlanie 1-15 z 23
Tytuł:
Uniqueness for a class p-Laplacian problems when a parameter is large
Autorzy:
Alreshidi, B.
Hai, D. D.
Powiązania:
https://bibliotekanauki.pl/articles/29519620.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
singular p-Laplacian
uniqueness
positive solutions
Opis:
We prove uniqueness of positive solutions for the problem $ −Δ_p u = \lambda f(u) $ in $ \Omega, u = 0 $ on $ \delta \Omega $, where $ 1 < p < 2 $ and $ p $ is close to 2, $ \Omega $ is bounded domain in $ \mathbb{R}^n $ with smooth boundary $ ∂Ω, f : [0,∞) → [0,∞) $ with $ f(z) ∼ z \beta $ at $ \infty $ for some $ \beta ∈ (0, 1) $, and $ \lambda $ is a large parameter. The monotonicity assumption on $ f $ is not required even for $ u $ large.
Źródło:
Opuscula Mathematica; 2024, 44, 1; 5-17
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Successive iterative method for higher-order fractional differential equations involving Stieltjes integral boundary conditions
Autorzy:
Jankowski, T.
Powiązania:
https://bibliotekanauki.pl/articles/1938598.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
fractional differential equations with delayed arguments
Stieltjes integral boundary conditions
successive iterative method
convergence
existence of positive solutions
Opis:
In this paper, the existence of positive solutions to fractional differential equations with delayed arguments and Stieltjes integral boundary conditions is discussed. The convergence of successive iterative method of solving such problems is investigated. This allows us to improve some recent works. Some numerical examples illustrate the results.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 99-108
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strongly increasing solutions of cyclic systems of second order differential equations with power-type nonlinearities
Autorzy:
Jaroś, J.
Takaśi, K.
Powiązania:
https://bibliotekanauki.pl/articles/1397499.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
systems of differential equations
positive solutions
asymptotic behavior
regularly varying functions
Opis:
We consider n-dimensional cyclic systems of second order differential equations $(p_i(t)|x_i^\prime |^{\alpha_i - 1} x_i^\prime )^\prime = q_i(t) |x_{i+q}|^{\beta_i -1} x_{i+1}, i= 1, ..., n, \ \ (x_{n+1} = x_1) \ \ (\ast) $ under the assumption that the positive constants $\alpha_i $ and $ \beta_i $ satisfy $ \alpha_1 ... \alpha_n > \beta_1 ... \beta_n $ and $p_i(t)$ and $q_i(t)$ are regularly varying functions, and analyze positive strongly increasing solutions of system (*) in the framework of regular variation. We show that the situation for the existence of regularly varying solutions of positive indices for (*) can be characterized completely, and moreover that the asymptotic behavior of such solutions is governed by the unique formula describing their order of growth precisely. We give examples demonstrating that the main results for (*) can be applied to some classes of partial differential equations with radial symmetry to acquire accurate information about the existence and the asymptotic behavior of their radial positive strongly increasing solutions.
Źródło:
Opuscula Mathematica; 2015, 35, 1; 47-69
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive stationary solutions of convection-diffusion equations for superlinear sources
Autorzy:
Orpel, Aleksandra
Powiązania:
https://bibliotekanauki.pl/articles/2216153.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
semipositone problems
positive stationary solutions
minimal solutions with finite energy
sub and supersolutions methods
Opis:
We investigate the existence and multiplicity of positive stationary solutions for a certain class of convection-diffusion equations in exterior domains. This problem leads to the following elliptic equation Δu(x) + f(x, u(x)) + g(x)x · ∇u(x) = 0, for x ∈ ΩR = {x ∈ Rn, ∥x∥ > R}, n > 2. The goal of this paper is to show that our problem possesses an uncountable number of nondecreasing sequences of minimal solutions with finite energy in a neighborhood of infinity. We also prove that each of these sequences generates another solution of the problem. The case when f(x, ·) may be negative at the origin, so-called semipositone problem, is also considered. Our results are based on a certain iteration schema in which we apply the sub and supersolution method developed by Noussair and Swanson. The approach allows us to consider superlinear problems with convection terms containing functional coefficient g without radial symmetry.
Źródło:
Opuscula Mathematica; 2022, 42, 5; 727-749
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solutions with specific asymptotic behavior for a polyharmonic problem on $\mathbb{R}^n$
Autorzy:
Dhifli, A.
Powiązania:
https://bibliotekanauki.pl/articles/1397483.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
asymptotic behavior
Dirichlet problem
Schauder fixed point theorem
positive bounded solutions
Opis:
This paper is concerned with positive solutions of the semilinear polyharmonic equation $(-\Delta)^m u = a(x)u^\alpha$ on $\mathbb{R}^n$, where m and n are positive integers with n > 2m, $\alpha \in (—1,1)$. The coefncient a is assumed to satisfy $a(x) \approx (1+|x|)^{-\lambda}L(1+|x|)$ for $ x \in \mathbb{R}^n$, where $ \lambda \in [2m,\infty)$ and $L \in C^1([q,\infty))$ is positive with $ {tL^\prime (t)}/{L(t)} \rightarrow 0 $ as $ t \rightarrow \infty $ if $ \lambda = 2m$, one also assumes that $\int_1^\infty t^{-1} L(t) dt < \infty $. We prove the existence of a positive solution $u$ such that $ u(x) \approx (1 + |x|)^{-\tilde{\lambda}} L(1+|x|)$ for $ x \in \mathbb{R}^n$, with $\tilde{\lambda} := \text{min}(n-2m, {\lambda-2m}/{1-\alpha})$ and a function $ \tilde{L} $, given explicitly in terms of $L$ and satisfying the same condition as infinity. (Given positive functions $f$ and $g$ on $\mathbb{R}^n$, $f \approx g $ means that $c^{-1} g \leq f \leq cg $ for some constant c > 1.)
Źródło:
Opuscula Mathematica; 2015, 35, 1; 5-19
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions
Autorzy:
Padhi, S.
Pati, S.
Hota, D. K.
Powiązania:
https://bibliotekanauki.pl/articles/255207.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
positive solutions
Leggett-Williams fixed point theorem
nonlinear boundary conditions
Opis:
We consider the existence of at least three positive solutions of a nonlinear first order problem with a nonlinear nonlocal boundary condition given by [formula] where r : [0,1] → [0, ∞) is continuous; the nonlocal points satisfy [formula] the nonlinear function ƒi and [formula] are continuous mappings from [0,1] x [0,∞) → [0,∞) for i = 1,2,... ,m and j = 1, 2,. .. , n respectively, and λ > 0 is a positive parameter.
Źródło:
Opuscula Mathematica; 2016, 36, 1; 69-79
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solutions for the one-dimensional p-Laplacian with nonlinear boundary conditions
Autorzy:
Hai, D. D.
Wang, X.
Powiązania:
https://bibliotekanauki.pl/articles/255386.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
p-Laplacian
semipositone
nonlinear boundary conditions positive solutions
Opis:
We prove the existence of positive solutions for the p-Laplacian problem [formula] where [formula] can be nonlinear, i=1,2 , f:(0,∞)→R is p-superlinear or p-sublinear at ∞ and is allowed be singular (±∞) at 0, and λ is a positive parameter.
Źródło:
Opuscula Mathematica; 2019, 39, 5; 675-689
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solution of a fractional differential equation with integral boundary conditions
Autorzy:
Abdo, M. S.
Wahash, H. A.
Panchal, S. K.
Powiązania:
https://bibliotekanauki.pl/articles/122788.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional derivative and integral
positive solutions of nonlinear boundary value problems
upper and lower solutions
fixed point theorem
pochodna ułamkowa
twierdzenie o punkcie stałym
twierdzenia o punkcie stałym Schaudera
równania różniczkowe cząstkowe
nieliniowe cząstkowe równanie różniczkowe
zagadnienie brzegowe
Opis:
In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions. The technique used to prove our results depends on the upper and lower solution, the Schauder fixed point theorem and the Banach contraction principle. The result of existence obtained through constructing the upper and lower control functions of the nonlinear term without any monotone requirement.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 5-15
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the number of positive solutions to a class of integral equations
Autorzy:
Wang, L.
Yu, W.
Zhang, L.
Powiązania:
https://bibliotekanauki.pl/articles/206271.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie całkowe
rozwiązanie dodatnie
integral equations
positive solutions
complete discrimination system for polynomials
number of solutions
Opis:
By using the complete discrimination system for polynomials, we study the number of positive solutions in C[0,1] to the integral equation phi(x) = integral[...] k(x,y)phi^n(y)dy, where k(x,y) = phi1(x)phi1(y)+phi2(x)phi2(y),[phi]i(x) > 0,[phi]i(y) > 0,0 < x,y < 1,i = 1,2, are continuous functions on [0,1], n is a positive integer. We prove the following results: when n = 1, either there does not exist, or there exist infinitely many positive solutions in C[0,1]; when n [is greater than or equal] 2, there exist at least 1, at most n + 1 positive solutions in C[0,1]. Necessary and sufficient conditions are derived for the cases: 1) n = 1, there exist positive solutions; 2) n [is greater than or equal to] 2, there exist exactly m (m belongs to {1,2,..., n + 1}) positive solutions. Our results generalize the ones existing in the literature, and their usefulness is shown by examples.
Źródło:
Control and Cybernetics; 2003, 32, 2; 383-395
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a semilinear elliptic eigenvalue problem
Autorzy:
Coclite, Mario
Powiązania:
https://bibliotekanauki.pl/articles/1294623.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
semilinear elliptic equations
nonlinear boundary-value problems
positive solutions
supersolution and subsolution method
Opis:
We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, $u|_{∂Ω} = 0$, where f(x) and h(u) satisfy minimal regularity assumptions.
Źródło:
Annales Polonici Mathematici; 1997, 67, 3; 289-295
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a Robin (p, q)-equation with a logistic reaction
Autorzy:
Papageorgiou, Nikolaos S.
Vetro, Calogero
Vetro, Francesca
Powiązania:
https://bibliotekanauki.pl/articles/254839.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
positive solutions
superdiffusive reaction
local minimizers
maximum principle
minimal positive solutions
Robin boundary condition
indefinite potential
Opis:
We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a p-Laplacian and of a q-Laplacian ((p,q)-equation) plus an indefinite potential term and a parametric reaction ol logistic type (superdiffusive case). We prove a bilurcation-type result describing the changes in the set ol positive solutions as the parameter λ > 0 varies. Also, we show that lor every admissible parameter λ > 0, the problem admits a smallest positive solution. Keywords: positive solutions, superdiffusive reaction, local minimizers, maximum principle, min
Źródło:
Opuscula Mathematica; 2019, 39, 2; 227-245
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions
Autorzy:
R., D.
Wang, Haiyan
Powiązania:
https://bibliotekanauki.pl/articles/1294312.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonlinear boundary value problems
multiplicity of positive solutions
upper and lower solutions
degree theory
Opis:
We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.
Źródło:
Annales Polonici Mathematici; 1998, 69, 2; 155-165
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiple solutions to third-order differential equations with derivative dependence and deviating arguments
Autorzy:
Jankowski, T.
Powiązania:
https://bibliotekanauki.pl/articles/1938599.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
boundary value problems with deviating arguments
Stieltjes integral boundary conditions
cone
existence of positive solutions
fixed point theorem
Opis:
In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions. We discuss our problem with advanced argument α and arbitrary β ∈ C([0,1],[0,1]), see problem (2). It means that argument β can change the character on [0,1], so β can be delayed in some set J¯⊂ [0,1] and advanced in [0,1] \ J¯. Four examples illustrate the main results.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 85-98
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
Autorzy:
Kong, Lingbin
Jiang, Daqing
Powiązania:
https://bibliotekanauki.pl/articles/1294291.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonlinear periodic boundary value problem
multiple positive solutions
cone
fixed point index
Opis:
The fourth order periodic boundary value problem $u^{(4)} - m⁴u + F(t,u) = 0$, 0 < t < 2π, with $u^{(i)}(0) = u^{(i)}(2π)$, i = 0,1,2,3, is studied by using the fixed point index of mappings in cones, where F is a nonnegative continuous function and 0 < m < 1. Under suitable conditions on F, it is proved that the problem has at least two positive solutions if m ∈ (0,M), where M is the smallest positive root of the equation tan mπ = -tanh mπ, which takes the value 0.7528094 with an error of $±10^{-7}$.
Źródło:
Annales Polonici Mathematici; 1998, 69, 3; 265-270
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linearized comparison criteria for a nonlinear neutral differential equation
Autorzy:
Guan, Xinping
Cheng, Sui
Powiązania:
https://bibliotekanauki.pl/articles/1311059.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
neutral differential equations
positive solutions
linearized comparison theorems
Opis:
A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.
Źródło:
Annales Polonici Mathematici; 1996, 64, 2; 161-173
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 23

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies