Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
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Publication:3527980
DOI10.1515/JAA.2008.53zbMath1155.34011MaRDI QIDQ3527980
Haiyin Gao, Xue-Zhang Hou, Shiyou Weng, Daqing Jiang
Publication date: 1 October 2008
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Growth and boundedness of solutions to ordinary differential equations (34C11)
Related Items (3)
On higher order fully periodic boundary value problems ⋮ Unnamed Item ⋮ Systems of coupled clamped beams equations with full nonlinear terms: existence and location results
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
- Periodic boundary value problems for nonlinear higher order ordinary differential equations
- The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
- The method of lower and upper solutions for fourth-order two-point boundary value problems
- A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems.
- Fourth order two-point boundary value problems; estimates by two-sided bounds
- Existence and uniqueness theorems for the bending of an elastic beam equation
- A maximum principle for fourth order ordinary differential equations
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