Name
Abstract | ||
|---|---|---|
In this paper, we show the existence of solutions to a nonlinear singular second order ordinary differential equation, u″(t)=atu′(t)+λf(t,u(t),u′(t)), subject to periodic boundary conditions, where a>0 is a given constant, λ>0 is a parameter, and the nonlinearity f(t,x,y) satisfies the local Carathéodory conditions on [0,T]×R×R. Here, we study the case that a well-ordered pair of lower and upper functions does not exist and therefore the underlying problem cannot be treated by well-known standard techniques. Instead, we assume the existence of constant lower and upper functions having opposite order. Analytical results are illustrated by means of numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.06.048 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Singular boundary value problems,Periodic boundary conditions,Time singularity of the first kind,Lower and upper functions,Opposite order,Collocation methods | Boundary value problem,Mathematical optimization,Nonlinear system,Ordinary differential equation,Mathematical analysis,Periodic boundary conditions,Singular boundary method,Gravitational singularity,Periodic graph (geometry),Ode,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 4 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anna Feichtinger | 1 | 0 | 0.34 |
| Irena Rachůnková | 2 | 0 | 0.34 |
| Svatoslav Staněk | 3 | 0 | 1.35 |
| Ewa Weinmüller | 4 | 118 | 24.75 |