Lower and upper solutions for a fully nonlinear beam equation

DOI10.1016/j.na.2008.10.073zbMath1172.34013OpenAlexW2027239041MaRDI QIDQ1021722

Tihomir Gyulov, A. I. Santos, Feliz Manuel Minhós

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.073

zbMATH Keywords

lower and upper solutionsNagumo-type conditionfourth order boundary value problema priori estimate and degree theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

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Cites Work

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• Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control
• Existence and uniqueness theorems for the bending of an elastic beam equation
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