Upper and Lower Solutions and Multiplicity Results
Copyright policy )Upper and Lower Solutions and Multiplicity Results
Using the topological degree theory, the author obtains some multiplicity results for the second-order differential equation \(x''=f(t,x,x')\), with both linear (periodic and Neumann) and nonlinear boundary conditions. Here, \(f:[a,b]\times \mathbb{R}^2 \to \mathbb{R}\) is continuous and satisfies certain growth conditions. The results extend those from a previous paper by the author, established for \(f\) bounded [J. Math. Anal. Appl. 234, No. 1, 311-327 (1999)].
- Palacký University, Olomouc Czech Republic
Nonlinear boundary value problems for ordinary differential equations, boundary value problem, Applied Mathematics, multiplicity results, upper and lower solutions, topological degree, Analysis
Nonlinear boundary value problems for ordinary differential equations, boundary value problem, Applied Mathematics, multiplicity results, upper and lower solutions, topological degree, Analysis
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