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Stability of solutions of Volterra integrodifferential equations

โœ Scribed by V.S. Sergeev

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
381 KB
Volume
45
Category
Article
ISSN
0895-7177

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๐Ÿ“œ SIMILAR VOLUMES

Global Existence of Solutions of Volterr
Global Existence of Solutions of Volterra Integrodifferential Equations of Parabolic Type
โœ G. Gripenberg ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

Sufficient conditions for the global existence of a strong solution of the equation \(u_{t}(t, x)=\int_{0}^{i} k(t-s) \sigma\left(u_{x}(s, x)\right)_{x} d s+f(t, x)\) are given. The kernel \(k\) satisfies \(9 \hat{k}(z) \geqslant\) \(\kappa|\exists \hat{k}(z)|\) and \(\sigma\) is increasing with \(\