Green's function and maximum principle for higher order ordinary differential equations with impulses.

DOI10.1216/rmjm/1022009274zbMath1043.34009OpenAlexW2009302734MaRDI QIDQ5928685

Eduardo Liz, Susana Lois, Alberto Cabada

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-2/CONT30-2/CONT30-2.html

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Green's functions for ordinary differential equations (34B27)

Related Items (6)

Extremal solutions for nonlinear functional \(\varphi\)-Laplacian impulsive equations ⋮ Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem ⋮ 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 ⋮ Systems of differential equations with implicit impulses and fully nonlinear boundary conditions ⋮ On the solvability of second-order impulsive differential equations with antiperiodic boundary value conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Existence results for boundary value problems of second order impulsive differential equations
• Remarks on the lower and upper solutions method for second- and third- order periodic boundary value problems
• Existence of solutions to boundary value problems for impulsive second order differential inclusions
• The method of lower and upper solutions for \(n\)th-order periodic boundary value problems
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Basic theory for nonresonance impulsive periodic problems of first order
• A boundary value problem for a system of ordinary differential equations with impulse effects
• The method of lower and upper solutions for third-order periodic boundary value problems
• Periodic boundary value problems for second order impulsive differential systems
• Boundary value problems for higher order ordinary differential equations with impulses
• Maximum principles for fourth and sixth order periodic boundary value problems

This page was built for publication: Green's function and maximum principle for higher order ordinary differential equations with impulses.