Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions

DOI10.1016/S0898-1221(04)90087-9zbMath1068.34009MaRDI QIDQ1767825

Sotiris K. Ntouyas, Abdelghani Ouahab, Johnny Henderson, Mouffak Benchohra

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

upper and lower solutionsfixed-pointboundary value problemnonlinear boundary conditionsconvex-valued multifunctionimpulsive effect

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Ordinary differential inclusions (34A60) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (9)

Existence results for discontinuous functional differential systems ⋮ Impulsive boundary value problems with nonlinear boundary conditions ⋮ Periodicity and multi-periodicity generated by impulses control in delayed Cohen-Grossberg-type neural networks with discontinuous activations ⋮ Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions ⋮ Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions ⋮ Periodic Duffing delay equations with state dependent impulses ⋮ Periodic Liénard-type delay equations with state-dependent impulses ⋮ Periodicity and multi-periodicity generated by impulses in delayed differential inclusions: application to discontinuous Nicholson's blowflies model ⋮ Multi-point boundary value problem of first order impulsive functional differential equations

Cites Work

• Existence of solutions to boundary value problems for impulsive second order differential inclusions
• Existence results for first-order impulsive differential equations
• Discontinuous impulsive differential equations with nonlinear boundary conditions
• Nonlinear boundary value problems for first order impulsive integro-differential equations
• Boundary value problems for second order impulsive differential equations using set-valued maps
• Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions
• Initial value problems for impulsive differential inclusions of first order
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