Multiple positive solutions of boundary-value problems for impulsive differential equations

DOI10.1016/0362-546X(94)00175-HzbMath0840.34015OpenAlexW1967212810MaRDI QIDQ4863519

Xinzhi Liu, Dajun Guo

Publication date: 6 February 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00175-h

zbMATH Keywords

boundary-value problemmeasure of noncompactnessBanach spaceimpulsive differential equationsmultiple positive solutionsfixed point index for strict set contraction

Mathematics Subject Classification ID

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

Related Items (34)

Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces ⋮ The existence of upper and lower solutions to second order random impulsive differential equation with boundary value problem ⋮ Multiple solutions of singular impulsive boundary value problems on the half-line ⋮ Existence of positive solutions for second-order impulsive differential equations with delay and three-point boundary value problem ⋮ Impulsive boundary value problems with nonlinear boundary conditions ⋮ Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations ⋮ Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces ⋮ Existence of solutions for weighted \(p(r)\)-Laplacian impulsive system mixed type boundary value problems ⋮ Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval ⋮ Existence of positive solutions of third-order boundary value problems with integral boundary conditions in Banach spaces ⋮ Professor Dajun Guo: a true mathematician and educator ⋮ Variational approach to a class of impulsive differential equations ⋮ Positive solutions to second order four-point boundary value problems for impulsive differential equations ⋮ Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces ⋮ Existence of positive solution for impulsive boundary value problem with p‐Laplacian in Banach spaces ⋮ Positive solutions of three-point boundary value problems for second order impulsive differential equations with advanced arguments ⋮ Multiple nonnegative solutions for second order impulsive differential equations. ⋮ A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem ⋮ Multiple positive solutions of a singular Gelfand type problem for second-order impulsive differential systems ⋮ Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations ⋮ Boundary value problems for higher order linear impulsive differential equations ⋮ Existence of positive solutions to second order four-point impulsive differential problems with deviating arguments ⋮ Boundary value problems on the half-line with impulses and infinite delay ⋮ Existence of positive solutions for nonlinear second-order impulsive boundary value problems on time scales ⋮ Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations ⋮ A class of three-point boundary-value problems for second-order impulsive integro-differential equations in Banach spaces ⋮ Solutions of impulsive boundary value problems on the half-line ⋮ Existence results for a class of \(n\)th order \(m\)-point boundary value problems in Banach spaces ⋮ Positive solutions of \(n\)th-order impulsive boundary value problems with integral boundary conditions in Banach spaces ⋮ Three positive solutions to second-order three-point impulsive differential equations with deviating arguments ⋮ Existence of solution of \(m\)-point boundary value problems of second-order differential systems with impulses ⋮ Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line ⋮ Second order impulsive integro-differential equations on unbounded domains in Banach spaces11Research supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation of China. ⋮ Positive solutions of generalized Emden--Fowler equation

Cites Work

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• Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces
• Fixed point theorems for mappings in ordered Banach spaces
• Quasi-solutions of nonlinear impulsive equations in abstract cones
• A fixed point theorem for positivek-set contractions

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