The method of lower and upper solutions for fourth-order two-point boundary value problems
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Publication:1378569
DOI10.1006/jmaa.1997.5639zbMath0892.34009OpenAlexW1975098108MaRDI QIDQ1378569
Shengmao Fu, Ru Yun Ma, Ji Hui Zhang
Publication date: 5 July 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/fd5dd52ed4f70bac9df23c73349bac2bd0f4a698
Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27)
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Cites Work
- Unnamed Item
- Unnamed Item
- On fourth order boundary value problems arising in beam analysis
- Existence and uniqueness theorems for fourth-order boundary value problems
- Existence and uniqueness results for the bending of an elastic beam equation at resonance
- Some multiplicity results for an elastic beam equation at resonance
- The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
- Nonresonance conditions for fourth order nonlinear boundary value problems
- Existence and uniqueness theorems for some fourth order fully quasilinear boundary value problems
- Fourth order two-point boundary value problems; estimates by two-sided bounds
- Positive solutions for two-point BVP's: existence and multiplicity results
- Existence and uniqueness theorems for the bending of an elastic beam equation
- Fourth-Order Two-Point Boundary Value Problems
- A Uniqueness Theorem for a Boundary Value Problem
- A maximum principle for fourth order ordinary differential equations
- On the existence of positive solutions of fourth-order ordinary differential equations
- Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
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