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Existence of nondensely defined evolution equations with nonlocal conditions

✍ Scribed by Zhenbin Fan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
479 KB
Volume
70
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Nondensely defined evolution equations w
Nondensely defined evolution equations with nonlocal conditions
✍ K. Ezzinbi; James H. Liu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 728 KB

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.

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.

Existence of solutions for neutral funct
Existence of solutions for neutral functional differential evolution equations with nonlocal conditions
✍ Xianlong Fu; Khalil Ezzinbi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 131 KB

In this paper, by using fractional power of operators and Sadovskii's ΓΏxed point theorem, we study the existence of mild and strong solutions of semilinear neutral functional di erential evolution equations with nonlocal conditions. The results we obtained are a generalization and continuation of th