Systems of differential equations with implicit impulses and fully nonlinear boundary conditions

DOI10.1186/1687-2770-2013-240zbMath1291.34034OpenAlexW2110499132WikidataQ59294823 ScholiaQ59294823MaRDI QIDQ2252562

Yawei Song, H. B. Thompson

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-240

zbMATH Keywords

impulsesboundary value problemsnonlinear boundary conditionsLeray-Schauder degree

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations with impulses (34A37) Nonlinear ordinary differential equations and systems (34A34)

Related Items (2)

Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions ⋮ The Dirichlet problem for the vector ordinary \(p\)-Laplacian

Cites Work

• Extremal solutions for nonlinear functional \(\varphi\)-Laplacian impulsive equations
• Existence results for boundary value problems of second order impulsive differential equations
• Strong convexity of sets and functions
• Boundary value problems for infinite systems of second order differential equations
• Solutions of two-point BVPs at resonance for higher order impulsive differential equations
• Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions
• New maximum principles for first-order impulsive boundary value problems
• A Hartman-Nagumo inequality for the vector ordinary \(p\)-Laplacian and applications to nonlinear boundary value problems.
• Existence results for impulsive second-order periodic problems
• Second order ordinary differential equations with fully nonlinear two point boundary conditions. II
• Discontinuous impulsive differential equations with nonlinear boundary conditions
• Systems of differential equations with fully nonlinear boundary conditions
• Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions
• Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions
• Green's function and maximum principle for higher order ordinary differential equations with impulses.
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