Monotone method for nonlinear periodic boundary value problems. (Chinese. English summary) Zbl 0717.34021
Summary: The existence of solutions for a class of second order nonlinear periodic boundary value problems using the upper and lower solution method is discussed. An iterative formula is given for the calculation of approximate solutions. A monotone method is given for solving the periodic travelling wave solutions of reaction-diffusion systems.
MSC:
34B15 | Nonlinear boundary value problems for ordinary differential equations |
34A45 | Theoretical approximation of solutions to ordinary differential equations |
35K57 | Reaction-diffusion equations |