Existence of multiple symmetric positive solutions of higher order Lidstone problems.

DOI10.1016/S0022-247X(03)00386-XzbMath1048.34054MaRDI QIDQ1406995

Xueyan Liu, Bing Gen Zhang

Publication date: 7 September 2003

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

zbMATH Keywords

existenceconepositive solutionfixed-point theoremsymmetric positive solutionsnonuniquenessLidstone problem

Mathematics Subject Classification ID

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

Related Items (27)

Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces ⋮ Existence and multiplicity results for some generalized Hammerstein equations with a parameter ⋮ Solving singular boundary-value problems of higher even-order ⋮ Solutions of two-point boundary value problems for even-order differential equations ⋮ Positive solutions for 2\(n\)th-order singular sub-linear \(m\)-point boundary value problems ⋮ A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems ⋮ Symmetric positive solutions of nonlinear boundary value problems ⋮ A class of \(2n\)th-order singular boundary value problems ⋮ On 2nth-order nonlinear multi-point boundary value problems ⋮ Existence and multiplicity of solutions to \(2m\)th-order ordinary differential equations ⋮ Multiple solutions of some fourth-order boundary value problems ⋮ The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems ⋮ Positive solutions of singular complementary Lidstone boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Triple positive solutions for a type of second-order singular boundary problems ⋮ Positive solutions for a class of \(2n\)th-order singular boundary value problems ⋮ Existence of positive solutions for higher order \(p\)-Laplacian boundary value problems ⋮ Multiple positive solutions for \(n\)th-order \(m\)-point boundary value problems with all derivatives ⋮ Solutions of boundary value problems for \(2n\)-order differential equations ⋮ Positive solutions of \(2n\)th-order ordinary differential equations with multi-point boundary conditions ⋮ Complementary Lidstone interpolation and boundary value problems ⋮ Bifurcation techniques for Lidstone boundary value problems ⋮ Existence of positive solutions for 2\(n\)th-order singular sublinear boundary value problems ⋮ Existence and multiplicity of solutions of a kind of fourth-order boundary value problem ⋮ Positive solutions of a 2nth-order boundary value problem involving all derivatives via the order reduction method ⋮ Higher-order Lidstone boundary value problems for elliptic partial differential equations ⋮ Existence and multiplicity of solutions to even order ordinary differential equations via variational methods

Cites Work

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• Triple positive solutions and dependence on higher order derivatives
• Three symmetric positive solutions for a second-order boundary value problem
• Extremal points for impulsive Lidstone boundary value problems
• General Lidstone problems: Multiplicity and symmetry of solutions
• Singular nonlinear boundary value problems for higher order ordinary differential equations
• Multiple symmetric positive solutions for a second order boundary value problem

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