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Nondensely defined evolution equations with nonlocal conditions

✍ Scribed by K. Ezzinbi; James H. Liu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
728 KB
Volume
36
Category
Article
ISSN
0895-7177

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✦ Synopsis

In this note, we establish some results concerning the existence and regularity of "integral solutions" for some nondensely defined evolution equations with nonlocal condition, where the linear part satisfies the Hille-Yosida condition. They extend the results of densely defined evolution equations.

πŸ“œ SIMILAR VOLUMES

Global Existence for Semilinear Evolutio
Global Existence for Semilinear Evolution Equations with Nonlocal Conditions
✍ S.K. Ntouyas; P.Ch. Tsamatos πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 150 KB

In this paper, we study the global existence of solutions for semilinear evolution equations with nonlocal conditions, via a fixed point analysis approach. Using the Leray᎐Schauder Alternative, we derive conditions under which a solution exists globally.