Periodic boundary value problem for a system of ordinary differential equations with impulse effects

2016 ◽  
Author(s):  
Agila Tleulesova
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Periodic Boundary Value Problem

scholarly journals Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

1995 ◽  
Vol 18 (4) ◽  
pp. 757-764 ◽  
Author(s):  
Juan J. Nieto
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Periodic Boundary Value Problem ◽  
Extremal Solutions ◽  
Monotone Method

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.

scholarly journals On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation

2021 ◽  
Vol 104 (4) ◽  
pp. 110-117
Author(s):  
N.T. Orumbayeva ◽  
◽  
T.D. Tokmagambetova ◽  
Zh.N. Nurgalieva ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Hyperbolic Equations ◽  
Boundary Value ◽  
Periodic Problem ◽  
Periodic Boundary Value Problem ◽  
Functional Relations

In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for the Goursat equation is reduced to a linear gravity problem for hyperbolic equations. Reintroducing a new function, the obtained problem is reduced to a family of boundary value problems for ordinary differential equations and functional relations. When solving a family of boundary value problems for ordinary differential equations, the parameterization method is used. The application of this approach made it possible to establish the coefficients of the unique solvability of the semi-periodic problem for the Goursat equation and to propose constructive algorithms for finding an approximate solution.

Remark on zeros of solutions of second-order linear ordinary differential equations

2016 ◽  
Vol 23 (4) ◽  
pp. 571-577
Author(s):  
Monika Dosoudilová ◽  
Alexander Lomtatidze
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Nontrivial Solution ◽  
Unique Solvability ◽  
Periodic Boundary ◽  
Periodic Boundary Value Problem ◽  
Order Linear ◽  
Linear Ordinary Differential Equations ◽  
Zeros Of Solutions

AbstractAn efficient condition is established ensuring that on any interval of length ω, any nontrivial solution of the equation ${u^{\prime\prime}=p(t)u}$ has at most one zero. Based on this result, the unique solvability of a periodic boundary value problem is studied.

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