Some multiplicity results for an elastic beam equation at resonance

DOI10.1007/BF02453362zbMath0776.73037MaRDI QIDQ1261524

Ru Yun Ma

Publication date: 28 November 1993

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt procedureCarathéodory conditiontechnique of connected set

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (4)

Multiplicity results for a fourth-order boundary value problem ⋮ The method of lower and upper solutions for fourth-order two-point boundary value problems ⋮ On the existence of positive solutions of fourth-order ordinary differential equations ⋮ Uniqueness of solutions for fourth-order nonlocal boundary value problems

Cites Work

• Existence and uniqueness theorems for fourth-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fourth-Order Two-Point Boundary Value Problems
• Necessary and Sufficient Conditions for the Solvability of a Nonlinear Two-Point Boundary Value Problem
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