A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition
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Publication:1015838
DOI10.1016/j.na.2008.08.011zbMath1169.34009OpenAlexW2049621564MaRDI QIDQ1015838
A. I. Santos, Feliz Manuel Minhós, Maria do Rosário Grossinho
Publication date: 30 April 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10174/2716
lower and upper solutionsa priori estimatesLeray-Schauder degreehigher-order BVPone-sided Nagumo-type conditions
Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Extremal solutions for nonlinear functional \(\varphi\)-Laplacian impulsive equations
- Higher order two-point boundary value problems with asymmetric growth
- Existence and location result for a fourth order boundary value problem
- On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions.
- Upper and lower solution methods for fully nonlinear boundary value problems
- Existence theory for functional \(p\)-Laplacian equations with variable exponents
- Existence result for some third order separated boundary value problems.
- Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions
- Solvability of some third-order boundary value problems with asymmetric unbounded nonlinear\-ities
- Examples of the nonexistence of a solution in the presence of upper and lower solutions
