Solvability for some fourth order two-point boundary value problems

DOI10.3934/math.2020319zbMath1484.34081OpenAlexW3033537397MaRDI QIDQ2129871

Zhanbing Bai, Wen Lian, Yongfang Wei, Sujing Sun

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020319

zbMATH Keywords

Laplace transformeigenvaluefixed point indexself-adjoint operators

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (2)

Addendum: ``Solvability for some fourth order two-point boundary value problems ⋮ Asymptotic properties of PDEs in compact spaces

Cites Work

• Uniqueness of positive solutions for a class of fourth-order boundary value problems
• Non-trivial solutions for nonlinear fourth-order elastic beam equations
• Iterative methods for a fourth order boundary value problem
• Positive solutions for systems of a nonlinear fourth-order singular semipositone boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Positive solutions of fourth-order boundary value problems with two parameters
• The method of lower and upper solutions for a bending of an elastic beam equation
• Existence and iterative method for some fourth order nonlinear boundary value problems
• ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER <i>P</i>-LAPLACIAN BEAM EQUATION
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