Boundary value problems for a class of first order quasilinear ordinary differential equations

DOI10.4171/PM/1951zbMath1310.34030OpenAlexW1966488346MaRDI QIDQ2259323

Vincent Bouchez, Jean Mawhin

Publication date: 3 March 2015

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1951

zbMATH Keywords

periodic problemLeray-Schauder degreeantiperiodic problemfirst order \(\phi\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11)

Related Items (2)

Problems with mixed boundary conditions in Banach spaces ⋮ Existence results for nonlinear problems with $\varphi$- Laplacian operators and nonlocal boundary conditions

Cites Work

• Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS
• Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument
• Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity
• Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave-convex nonlinearities
• Time maps and exact multiplicity results for one-dimensional prescribed mean curvature equations. II
• Time maps and exact multiplicity results for one-dimensional prescribed mean curvature equations
• Guiding-like functions for periodic or bounded solutions of ordinary differential equations.
• Exact multiplicity results for a one-dimensional prescribed mean curvature problem related to MEMS models
• Boundary-value problems with non-surjective \(\varphi\)-Laplacian and one-sided bounded nonlinearity
• Classical and non-classical solutions of a prescribed curvature equation
• Periodic solutions of nonlinear perturbations of \(\phi\)-Laplacians with possibly bounded \(\phi\)
• One-dimensional prescribed mean curvature equation with exponential nonlinearity
• A barrier method for quasilinear ordinary differential equations of the curvature type
• MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM
• Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation
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