We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions.
- Authors
Xie, Shengli
- Abstract
Using the Mönch fixed point theorem, this article proves the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach spaces. Some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, and compactness conditions of evolution operators or compactness conditions on a nonlinear term [InlineEquation not available: see fulltext.] have been weakened. Our results extend and improve many known results. MSC: 34G20, 34K30.
- Subjects
EXISTENCE theorems; NONLINEAR functions; NUMERICAL solutions to integro-differential equations; NUMERICAL solutions to evolution equations; FUNCTIONAL analysis; MATHEMATICAL proofs
- Publication
Boundary Value Problems, 2012, Vol 2012, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/1687-2770-2012-100