Positive solutions and eigenvalue intervals of a nonlinear singular fourth-order

DOI10.1007/s10492-013-0004-8zbMath1274.34076OpenAlexW2021982853MaRDI QIDQ1950794

Qing-liu Yao

Publication date: 13 May 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10492-013-0004-8

zbMATH Keywords

singularitypositive solutionnonlinear ordinary differential equationeigenvalue interval

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Positive solutions and eigenvalue intervals for a second order \(p\)-Laplacian discrete system ⋮ Maximum Principle for a fourth order boundary value problem ⋮ Positive solutions for some nonlocal and nonvariational elliptic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Positive solutions of singular Dirichlet boundary value problems with time and space singularities
• Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right
• Multiplicity of solutions for a class of non-homogeneous fourth-order boundary value problems
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• Successively iterative technique of a classical elastic beam equation with Carathéodory nonlinearity
• Local existence of multiple positive solutions to a singular cantilever beam equation
• Positive solutions for nonlinear eigenvalue problems
• On the global solvability of a class of fourth-order nonlinear boundary value problems
• Positive solutions to superlinear singular boundary value problems
• Positive solutions of fourth-order two point boundary value problems.
• On positive solutions of some nonlinear fourth-order beam equations
• A class of fourth order singular boundary value problems
• Multiplicity results for a fourth-order boundary value problem
• The upper and lower solution method for some fourth-order boundary value problems
• Multiplicity of positive solutions for a nonlinear fourth order equation
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems
• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems
• Positive solutions of singular integral equations

This page was built for publication: Positive solutions and eigenvalue intervals of a nonlinear singular fourth-order