Hybrid Differential Inclusion Involving Two Multi-Valuedoperators with Nonlocal Multi-Valued Integral Condition
Ahmed Salem, Aeshah Al-Dosari
Abstract
The present paper is devoted to the existence of solution for the Hybrid differential inclusions of the second type. Here, we present the inclusion problem with two multi-valued maps. In addition, it is considered with nonlocal integral boundary condition η(0)∈∫0σΔs,η(s)ds, where Δ is a multi-valued map. Relative compactness of the set ∫0σΔs,η(s)ds in L2(0,ε),R is used to justify the condensing condition for some created operators. Fixed point theorems connected with the weak compactness manner is utilized to explore the results throughout this paper.
Topics & Concepts
Differential inclusionCompact spaceMathematicsInclusion (mineral)Type (biology)Mathematical analysisSet (abstract data type)Differential (mechanical device)Fixed-point theoremBoundary (topology)Fixed pointBoundary value problemPure mathematicsApplied mathematicsComputer sciencePhysicsProgramming languageThermodynamicsBiologyEcologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis