Singular Lidstone boundary value problem with given maximal values for solutions.

DOI10.1016/j.na.2003.06.001zbMath1055.34040OpenAlexW1988850336MaRDI QIDQ1421159

Donal O'Regan, Ravi P. Agarwal, Svatoslav Staněk

Publication date: 26 January 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.06.001

zbMATH Keywords

ExistenceLeray-Schauder degreePositive solutionVitali's convergence theoremDependence on a parameterSingular Lidstone boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (16)

POSITIVE SOLUTIONS OF A SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM WITH A PARAMETER ⋮ Symmetric positive solutions of nonlinear boundary value problems ⋮ Existence of positive solutions for a system of generalized Lidstone problems ⋮ Positive solutions of singular complementary Lidstone boundary value problems ⋮ Existence result for the Lidstone boundary value problem at resonance ⋮ Nontrivial solutions for the \(2n^{\text{th}}\) Lidstone boundary value problem ⋮ Existence and uniqueness of positive solutions for a higher order boundary value problem ⋮ Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem ⋮ On solvability of boundary value problems for higher order nonlinear hyperbolic equations ⋮ Complementary Lidstone interpolation and boundary value problems ⋮ Bifurcation techniques for Lidstone boundary value problems ⋮ A nonlocal boundary value problem with singularities in phase variables ⋮ Positive solutions of a 2nth-order boundary value problem involving all derivatives via the order reduction method ⋮ On a singular boundary value problem for the differential equation \(f(t,x,x^{\prime },x^{\prime\prime })=0 \) using barrier strips ⋮ Existence of solutions for higher order BVP with parameters via critical point theory ⋮ Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables

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