Extremal points for impulsive Lidstone boundary value problems

DOI10.1016/S0895-7177(00)00165-5zbMath0963.34022MaRDI QIDQ1591040

H. B. Thompson, Johnny Henderson, Paul W. Eloe

Publication date: 18 June 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

existencenontrivial solutionboundary value problem with impulseimpulse effect operator

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items

Upper and lower solution methods for fully nonlinear boundary value problems ⋮ Solvability of \(N\)th order linear boundary value problems ⋮ Improving results on solvability of a class of \(n\)th-order linear boundary value problems ⋮ A fourth-order iterative boundary value problem with Lidstone boundary conditions ⋮ Eigenvalues of complementary Lidstone boundary value problems ⋮ Classifying first extremal points for a fractional boundary value problem with a fractional boundary condition ⋮ Existence of positive solutions for Lidstone boundary value problems on time scales ⋮ Existence of multiple symmetric positive solutions of higher order Lidstone problems. ⋮ Triple solutions of complementary Lidstone boundary value problems via fixed point theorems ⋮ Complementary Lidstone interpolation and boundary value problems ⋮ Solutions of two-point BVPs at resonance for higher order impulsive differential equations ⋮ Higher-order Lidstone boundary value problems for elliptic partial differential equations ⋮ Piecewise complementary Lidstone interpolation and error inequalities ⋮ Solutions of Lidstone BVPs for higher-order impulsive differential equations ⋮ Periodic boundary value problems for first-order impulsive ordinary differential equations ⋮ On 2\(n\)th-order Lidstone boundary value problems ⋮ Triple positive solutions and dependence on higher order derivatives ⋮ General Lidstone problems: Multiplicity and symmetry of solutions

Cites Work

• Focal points and comparison theorems for a class of two point boundary value problems
• Positive solutions and conjugate points for multipoint boundary value problems
• Focal point characterizations and comparisons for right focal differential operators
• A boundary value problem for a system of ordinary differential equations with impulse effects
• Positive solutions and \(J\)-focal points for two point boundary value problems
• Lidstone polynomials and boundary value problems
• Smoothness of solutions for boundary value problems with impulse effects. II
• Positive Solutions and Extremal Points for Differential Equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Positive solutions and conjugate points for systems of differential equations
• Two point boundary value problems associated with a system of first order nonlinear impulse differential equations
• Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions
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