Name
Title | ||
|---|---|---|
The existence of multiple positive solutions to boundary value problems of nonlinear delay differential equations with countably many singularities on infinite interval |
Abstract | ||
|---|---|---|
In this paper, we consider the existence of countably many positive solutions to a boundary value problem of a nonlinear delay differential equation with countably many singularities on infinite interval (@f(x^'(t)))^'+a(t)f(t,x(t),x"t)=0,0~x^'(t)=0, where @f:R-R is an increasing homeomorphism and a positive homomorphism with @f(0)=0,x"t is a function in C([-r,0],R) defined by x"t(@s)=x(t+@s) for -r@?@s@?0, and @x@?C([-r,0],R). By using the fixed-point index theory and a new fixed-point theorem in a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem. The conclusions in this paper essentially extend and improve the known results. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2009.10.005 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
increasing homeomorphism,multiple positive solution,fixed-point index theory,known result,new fixed-point theorem,infinite interval,positive solution,positive homomorphism,boundary value problem,nonlinear delay differential equation,delay differential equations,fixed point theorem,delay differential equation,boundary value problems | Differential equation,Boundary value problem,Nonlinear system,Mathematical analysis,Homomorphism,Delay differential equation,Partial differential equation,Mathematics,Fixed-point theorem,Homeomorphism | Journal |
Volume | Issue | ISSN |
233 | 9 | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuming Wei | 1 | 7 | 2.85 |
| patricia j y wong | 2 | 71 | 23.06 |
| Weigao Ge | 3 | 158 | 46.20 |