In this paper, the author obtains the existence of multiple positive solutions for a boundary value problem of a class of nth-order nonlinear impulsive integro-differential equations on an infinite interval in a Banach space by means of the fixed point index theory of completely continuous operators
Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in a Banach space
โ Scribed by Dajun Guo
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 303 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we obtain the existence of multiple positive solutions of a m-point boundary value problem for 2nth-order singular nonlinear integro-differential equations in a Banach space, by means of fixed point index theory of completely continuous operators.
This paper investigates periodic boundary value problems for a class of secondorder nonlinear impulsive integro-differential equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained.
Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x and deviating argument x(ฮฒ(t)) in Banach space.