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Wyświetlanie 1-15 z 37
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:
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:
Asymptotic stability of a neutral integro-differential equation
Autorzy:
Wang, G.
Cheng, S. S.
Powiązania:
https://bibliotekanauki.pl/articles/255680.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
asymptotic behavior
nonlinear neutral integro-differential equation
Opis:
The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 515-527
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On existence and global attractivity of periodic solutions of nonlinear delay differential equations
Autorzy:
Qian, Chuanxi
Smith, Justin
Powiązania:
https://bibliotekanauki.pl/articles/255800.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
delay differential equation
periodic solution
global attractivity
Opis:
onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,) x [0, ∞) —> R, g(t, x) : [0, ∞) x [0, ∞) —> [0, ∞) are continuous functions and w-periodic in t, r(t) : [0, ∞) —> R is a continuous function and r ∈ (0, ∞) is a positive constant. We first obtain a sufficient condition for the existence of a unique nonnegative periodic solution [formula] of the associated unforced differential equation of Eq. (*) [formula] (**) Then we obtain a sufficient condition so that every nonnegative solution of the forced equation (*) converges to this nonnegative periodic solution [formula] of the associated unforced equation (**). Applications from mathematical biology and numerical examples are also given.
Źródło:
Opuscula Mathematica; 2019, 39, 6; 839-862
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
Autorzy:
Lyons, J. W.
Neugebauer, J. T.
Powiązania:
https://bibliotekanauki.pl/articles/255965.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fractional differential equation
singular problem
fixed point
Opis:
For α ∈ (1,2] the singular fractional boundary value problem [formula] satisfying the boundary conditions [formula] where β ∈ (0,α - 1], μ ∈ (0,α - 1], and [formula] are Riemann-Liouville derivatives of order α, β, and μ respectively, is considered. Here ƒ satisfies a local Carathéodory condition, and ƒ (t, x, y) may be singular at the value 0 in its space variable x. Using regularization and sequential techniques and Krasnosel’skii’s fixed point theorem, it is shown this boundary value problem has a positive solution. An example is given.
Źródło:
Opuscula Mathematica; 2017, 37, 3; 421-434
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term
Autorzy:
Graef, John R.
Grace, Said R.
Tunc, Ercan
Powiązania:
https://bibliotekanauki.pl/articles/952818.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillatory behavior
neutral differential equation even-order
Opis:
The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 39-47
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation of time fractional vector diffusion-wave equation with fractional damping
Autorzy:
Ramesh, R.
Harikrishnan, S.
Nieto, J. J.
Prakash, P.
Powiązania:
https://bibliotekanauki.pl/articles/255843.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fractional diffusion-wave equation H-oscillation
vector differential equation
Opis:
In this paper, sufficient conditions for H-oscillation of solutions of a time fractional vector diffusion-wave equation with forced and fractional damping terms subject to the Neumann boundary condition are established by employing certain fractional differential inequality, where H is a unit vector in Rn. The examples are given to illustrate the main results.
Źródło:
Opuscula Mathematica; 2020, 40, 2; 291-305
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Forced oscillation and asymptotic behavior of solutions of linear differential equations of second order
Autorzy:
Shoukaku, Yutaka
Powiązania:
https://bibliotekanauki.pl/articles/29519182.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
forced oscillation
asymptotic behavior
second order
differential equation
Opis:
The paper deals with the second order nonhomogeneous linear differential equation (p(t)y′(t))′ + q(t)y(t) = f(t), which is oscillatory under the assumption that p(t) and q(t) are positive, continuously differentiable and monotone functions on [0,∞). Throughout this paper we shall use pairs of quadratic forms, which obtained by different methods than Kusano and Yoshida. This form will lead to a property of qualitative behavior, including amplitudes and slopes, of oscillatory solutions of the above equation. In addition, we will discuss the existence of three types (moderately bounded, small, large) of oscillatory solutions, which are based on results due to Kusano and Yoshida.
Źródło:
Opuscula Mathematica; 2022, 42, 6; 867-885
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundary value problems for second order delay differential equations
Autorzy:
Skóra, L.
Powiązania:
https://bibliotekanauki.pl/articles/254891.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
functional differential equation
existence
uniqueness
fixed point theorem
Opis:
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order.
Źródło:
Opuscula Mathematica; 2012, 32, 3; 551-558
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behavior of second-order damped differential equations with a superlinear neutral term
Autorzy:
Tunc, Ercan
Ozdemir, Osman
Powiązania:
https://bibliotekanauki.pl/articles/255321.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
second-order
neutral differential equation
damping term
Opis:
. This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.
Źródło:
Opuscula Mathematica; 2020, 40, 5; 629-639
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Further properties of the rational recursive sequence [formula]
Autorzy:
Andruch-Sobiło, A.
Migda, M.
Powiązania:
https://bibliotekanauki.pl/articles/255871.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
differential equation
explicit formula
positive solutions
asymptotic stability
Opis:
In this paper we consider the difference equation [formula], n=0, 1... with positive parameters a and c, negative parameter b and nonnegative initial conditions. We investigate the asymptotic behavior of solutions of equation (E).
Źródło:
Opuscula Mathematica; 2006, 26, 3; 387-394
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Note on the stability of first order linear differential equations
Autorzy:
Bojor, F.
Powiązania:
https://bibliotekanauki.pl/articles/255364.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fixed point method
differential equation
Hyers-Ulam stability
Opis:
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form y'(x)+f (x) y(x)+g(x) = 0 under some additional conditions.
Źródło:
Opuscula Mathematica; 2012, 32, 1; 67-74
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory results for second-order noncanonical delay differential equations
Autorzy:
Dzurina, Jozef
Jadlovska, Irena
Stavroulakis, Ioannis P.
Powiązania:
https://bibliotekanauki.pl/articles/255407.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear differential equation
delay
second-order
noncanonical
oscillation
Opis:
The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.
Źródło:
Opuscula Mathematica; 2019, 39, 4; 483-495
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 37

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