Commenced in January 2007
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Edition: International
Paper Count: 3
Search results for: Krasnoselskii%20fixed%20point%20theorem
3 Existence of positive periodic solutions for certain delay differential equations
Authors: Farid Nouioua, Abdelouaheb Ardjouni
Abstract:
In this article, we study the existence of positive periodic solutions of certain delay differential equations. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ Krasnoselskii's fixed point theorem to obtain sufficient conditions for the existence of a positive periodic solution of the differential equation. The obtained results improve and extend the results in the literature. Finally, an example is given to illustrate our results.Keywords: delay differential equations, positive periodic solutions, integral equations, Krasnoselskii fixed point theorem
Procedia PDF Downloads 4332 Existence Solutions for Three Point Boundary Value Problem for Differential Equations
Authors: Mohamed Houas, Maamar Benbachir
Abstract:
In this paper, under weak assumptions, we study the existence and uniqueness of solutions for a nonlinear fractional boundary value problem. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using scheafer and krasnoselskii's fixed point theorem. At the end, some illustrative examples are presented.Keywords: caputo derivative, boundary value problem, fixed point theorem, local conditions
Procedia PDF Downloads 4201 Existence of Positive Solutions for Second-Order Difference Equation with Discrete Boundary Value Problem
Authors: Thanin Sitthiwirattham, Jiraporn Reunsumrit
Abstract:
We study the existence of positive solutions to the three points difference summation boundary value problem. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem due to Krasnoselskii in cones.Keywords: positive solution, boundary value problem, fixed point theorem, cone
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