Existence of solutions for a class of first order boundary value problems
Amirouche Mouhous a, Svetlin Georgiev Georgiev b, Karima Mebarki c
Abstract
In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.
Topics & Concepts
Class (philosophy)Complement (music)Boundary value problemMathematicsOrder (exchange)Value (mathematics)Applied mathematicsBoundary (topology)Pure mathematicsMathematical analysisComputer scienceArtificial intelligenceStatisticsEconomicsFinanceChemistryBiochemistryPhenotypeComplementationGeneNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems