Upper and Lower Solutions Method for Partial Discontinuous Fractional Differential Inclusions with not Instantaneous Impulses
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2016, Vol 36, Issue 2
Abstract
In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontinuous partial differential inclusions with not instantaneous impulses. Also, we studies the existence of extremal solutions under Lipschitz, Carathéodory and certain monotonicity conditions.
Authors and Affiliations
Saïd Abbas, Mouffak Benchohra
Keywords
Related Articles
- EP ID EP479187
- DOI 10.7151/dmdico.1184
- Views 30
- Downloads 0
Upper and Lower Solutions Method for Partial Discontinuous Fractional Differential Inclusions with not Instantaneous Impulses
In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontin...
Controllability for some integrodifferential evolution equations in Banach spaces
In this work, we study the controllability for a class of nonlinear integrodifferential equations in Banach spaces. Using resolvent operator properties and Schaefer's fixed point Theorem, we give sufficient conditions fo...
Existence of solutions for a second order problem on the half-line via Ekeland's variational principle
In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland's variational principle.
Weakly precompact operators on Cb(X,E) with the strict topology
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operato...
Pointwise strong approximation of almost periodic functions
We consider the class GM(2β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.