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Wyświetlanie 1-15 z 218
Tytuł:
Differential-functional Goursat problem
Autorzy:
Wojciechowski, Remigiusz
Powiązania:
https://bibliotekanauki.pl/articles/745306.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
functional-differential equation
Opis:
This paper is devoted to a differential-functional Goursat problem for second-order hyperbolic equations. There are proved existence results based on the Banach and Schauder fixed point theorems with some Bielecki type norms.
Źródło:
Commentationes Mathematicae; 2007, 47, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic model of drug concentration level during IV-administration
Autorzy:
Dzhalladova, Irada
Růžičková, Miroslava
Powiązania:
https://bibliotekanauki.pl/articles/29519179.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
IV-administration
deterministic model
stochastic differential equation
mean value
delay differential equation
Opis:
A stochastic model describing the concentration of the drug in the body during its IV-administration is discussed. The paper compares a deterministic model created with certain simplifications with the stochastic model. Fluctuating and irregular patterns of plasma concentrations of some drugs observed during intravenous infusion are explained. An illustrative example is given with certain values of drug infusion rate and drug elimination rate.
Źródło:
Opuscula Mathematica; 2022, 42, 6; 833-847
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations
Autorzy:
Tsyfra, Ivan
Powiązania:
https://bibliotekanauki.pl/articles/2050893.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
ordinary differential equation
partial differential equation
integrability
symmetry
quadrature
Lie transformation group
Opis:
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differen¬tial equations invariant with respect to one-parameter Lie group. The classical symmetry method is applied. We prove that if the coefficients of ordinary differential equation satisfy the stationary integrable partial differential equation with two independent variables then the ordinary differential equation is integrable by quadratures. If special solutions of integrable partial differential equations are chosen, then the coefficients satisfy the stationary KdV equations. It was shown that the Ermakov equation belong to a class of these equations. In the framework of the approach we obtained the similar results for generalized Riccati equations. By using operator of invariant differentiation we describe a class of higher order ordinary differential equations for which the group-theoretical method enables us to reduce the order of ordinary differential equation.
Źródło:
Opuscula Mathematica; 2021, 41, 5; 685-699
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New method to solve certain differential equations
Autorzy:
Rajchel, Kazimierz
Szczęsny, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/744683.pdf
Data publikacji:
2016-12-01
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
differential equation
Schroedinger equation
unit circle
Opis:
A new method to solve stationary one-dimensional Schroedinger equation is investigated. Solutions are described by means of representation of circles with multiple winding number. The results are demonstrated using the well-known analytical solutions of the Schroedinger equation.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2016, 15
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New oscillation criteria for first order nonlinear delay differential equations
Autorzy:
Tang, Xianhua
Shen, Jianhua
Powiązania:
https://bibliotekanauki.pl/articles/965779.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonoscillation
delay differential equation
oscillation
Opis:
New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].
Źródło:
Colloquium Mathematicum; 2000, 83, 1; 21-41
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
Autorzy:
Si, Jian-Guo
Wang, Xin-Ping
Powiązania:
https://bibliotekanauki.pl/articles/965956.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
analytic solution
functional differential equation
Opis:
This paper is concerned with a second-order functional differential equation of the form $x''(z)=x(az+bx'(z))$ with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
Źródło:
Colloquium Mathematicum; 1999, 79, 2; 273-281
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewners parametric method
Autorzy:
Śladkowska, J.
Powiązania:
https://bibliotekanauki.pl/articles/1294445.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
univalent function
Loewner differential equation
Opis:
Let $₀^{(R)}(b)$ denote the class of functions F(z) = b + A₁z + A₂z² + ...$ analytic and univalent in the unit disk U which satisfy the conditions: F(U) ⊂ U, 0 ∉ F(U), $Im F^{(n)}(0) = 0$. Using Loewner's parametric method we obtain lower and upper bounds of A₂ in $₀^{(R)}(b)$ and functions for which these bounds are realized. The class $₀^{(R)}(b)$, introduced in [6], is a subclass of the class $_u$ of bounded, non-vanishing univalent functions in the unit disk. This last class and closely related ones have been studied by various authors in [1]-[4]. We mention in particular the paper of D. V. Prokhorov and J. Szynal [5], where a sharp upper bound for the second coefficient in $_u$ is given.
Źródło:
Annales Polonici Mathematici; 1998, 68, 2; 119-123
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
System of boundary random fractional differential equations via Hadamard derivative
Autorzy:
Malki, Zakaria
Berhoun, Farida
Ouahab, Abdelghani
Powiązania:
https://bibliotekanauki.pl/articles/1797181.pdf
Data publikacji:
2021-04-14
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Random fractional differential equation
Hadamard fractional differential equation
existence
fixed point
vector metric space
Opis:
We study the existence of solutions for random system of fractional differential equations with boundary nonlocal initial conditions. Our approach is based on random fixed point principles of Schaefer and Perov, combined with a vector approach that uses matrices that converge to zero. We prove existence and uniqueness results for these systems. Some examples are presented to illustrate the theory.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2021, 20; 17-41
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the summability of divergent power series solutions for certain first-order linear PDES
Autorzy:
Hibino, M.
Powiązania:
https://bibliotekanauki.pl/articles/255352.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
partial differential equation
divergent power series
summability
asymptotic expansion
analytic continuation
integro-differential equation
integral equation
Opis:
This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of equations should satisfy in order to ensure the Borel summability of divergent solutions. We will see that there is a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients of equations.
Źródło:
Opuscula Mathematica; 2015, 35, 5; 595-624
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation criteria for third order nonlinear delay differential equations with damping
Autorzy:
Grace, S. R.
Powiązania:
https://bibliotekanauki.pl/articles/1397865.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
third order
delay differential equation
Opis:
This note is concerned with the oscillation of third order nonlinear delay differential equations of the form (r_2(t) (r_q(t)y^\prime(t))^\prime)^\prime + p(t)y^\prime(t)+q(t)f(y(g(t))) = 0$. (*) In the papers [A.Tiryaki, M.F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68] and [M.F. Aktas, A. Tiryaki, A. Zafer, Oscillation criteria for third order nonlinear-functional differential equations, Applied Math. Letters 23 (2010), 756-762], the authors established some sufficient conditions which insure that any solution of equation (*) oscillates or converges to zero, provided that the second order equation $(r_2(t)z^\prime(t))^\prime + (p(t)//r_1(t))z(t)=0$ (**) is nonoscillatory. Here, we shall improve and unify the results given in the above mentioned papers and present some new sufficient conditions which insure that any solution of equation (*) oscillates if equation (**) is nonoscillatory. We also establish results for the oscillation of equation (*) when equation (**) is oscillatory.
Źródło:
Opuscula Mathematica; 2015, 35, 4; 485-497
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference methods for the Darboux problem for functional partial differential equations
Autorzy:
Człapiński, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1294108.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
functional differential equation
Darboux problem
classical
Opis:
We consider the following Darboux problem: (1) $D_{xy}z(x,y) = f(x,y,z_{(x,y)},(D_xz)_{(x,y)},(D_yz)_{(x,y)})$, (2) z(x,y) = ϕ(x,y) on [-a₀,a] × [-b₀,b] \ (0,a] × (0,b], where $a₀,b₀ ∈ ℝ₊, a,b > 0. The operator $[0,a] × [0,b] ∋ (x,y) ↦ ω_{(x,y)} ∈ C([-a₀,0] × [-b₀,0],ℝ)$ defined by $ω_{(x,y)}(t,s) = ω(t+x,s+y)$ represents the functional dependence on the unknown function and its derivatives. We construct a wide class of difference methods for problem (1),(2). We prove the existence of solutions of implicit functional systems by means of a comparative method. We get two convergence theorems for implicit and explicit schemes, in the latter case with a nonlinear estimate with respect to the third variable. We give numerical examples to illustrate these results.
Źródło:
Annales Polonici Mathematici; 1999, 71, 2; 171-193
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Application of the Contraction Principle to Solve the Two-Term Fractional Differential Equations
Autorzy:
Błasik, M.
Klimek, M.
Powiązania:
https://bibliotekanauki.pl/articles/387237.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
równanie różniczkowe
rozwiązanie
differential equation
solving
Opis:
We solve two-term fractional differential equations with left-sided Caputo derivatives. Existence-uniqueness theorems are proved using newly-introduced equivalent norms/metric on the space of continuous functions. The metrics are modified in such a way that the space of continuous functions is complete and the Banach theorem on a fixed point can be applied. It appears that the general solution is generated by the stationary function of the highest order derivative and exists in an arbitrary interval [0,b].
Źródło:
Acta Mechanica et Automatica; 2011, 5, 2; 5-10
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A topological version of the Ambrosetti-Prodi theorem
Autorzy:
Przeradzki, Bogdan
Powiązania:
https://bibliotekanauki.pl/articles/1311053.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
multiple solution
resonance
functional-differential equation
Opis:
The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
Źródło:
Annales Polonici Mathematici; 1996, 64, 2; 121-130
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic analysis of the closed queueing structure with time-dependent service parameters and single-type messages
Autorzy:
Matalytski, M.
Rusilko, T.
Pankov, A.
Powiązania:
https://bibliotekanauki.pl/articles/122305.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
queueing network
differential equation
asymptotic analysis
Opis:
A closed queueing structure is considered in the paper; the number of single-type messages is not constant and depends on time. The route of messages is given by an arbitrary stochastic matrix of transition probabilities. An asymptotic analysis of this structure in case of large number of service requests is conducted. The service parameters of each queueing system of this structure, as well as the probability of messages transition between systems, depend on time. A system of ordinary differential equations to calculate the average relative number of messages in each queueing system, depending on the time, was obtained.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 2; 73-80
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability theorem for nonlinear dynamical systems
Autorzy:
Kisielewicz, Michał
Powiązania:
https://bibliotekanauki.pl/articles/729548.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
differential equation
differential inclusions
controllability
boundary value problem
Opis:
Some sufficient conditions for controllability of nonlinear systems described by differential equation ẋ = f(t,x(t),u(t)) are given.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 2; 225-232
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 218

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