Second-Order Initial Value Problems of Singular Type
β Scribed by Ravi P Agarwal; Donal O'Regan
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 84 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study the existence of __W__^2,1^ solutions for singular and nonsmooth initial value problems of the type equation image where__T__ > 0 is a priori fixed, __x__~0~, __x__~1~ β β, and __F__: [0, __T__ ] Γ β β π«(β) \ {β οΈ} is a multivalued mapping. (Β© 2007 WILEYβVCH Verlag GmbH & Co.
In this paper, unconditionally stable higher order accurate time step integration algorithms suitable for second order initial value problems in collocation form are presented. The second order equations are manipulated directly. If the approximate solution is expressed as a polynomial of degree n#1
In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence and uniqueness theorem of solutions of initial value problems for the second order mixed monotone type of impulsive differential equations and its application.