Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions

DOI10.1016/j.jmaa.2006.06.011zbMath1114.34026OpenAlexW2069083197MaRDI QIDQ5898638

Alberto Cabada, Jan Tomeček

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.011

zbMATH Keywords

lower and upper solutionsfunctional dependenceimpulseBoundary value problem

Mathematics Subject Classification ID

Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (5)

Unbounded solutions for functional problems on the half-line ⋮ Extremal solutions for nonlinear functional \(\varphi\)-Laplacian impulsive equations ⋮ A class of BVPs for first order impulsive integro-differential equations ⋮ Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions ⋮ Comparison results for functional differential equations with impulses

Cites Work

• Existence results for boundary value problems of second order impulsive differential equations
• First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions
• Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions
• Solutions of two-point BVPs at resonance for higher order impulsive differential equations
• Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions
• 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
• Existence results for impulsive second-order periodic problems
• Nonlinear boundary value problem for nonlinear second order differential equations with impulses
• Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
• Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions
• Green's function and maximum principle for higher order ordinary differential equations with impulses.
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