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The existence of globally stable equilibria of ecosystems of the generalized Volterra type

โœ Scribed by Yasuhiro Takeuchi; Norihiko Adachi


Publisher
Springer
Year
1980
Tongue
English
Weight
661 KB
Volume
10
Category
Article
ISSN
0303-6812

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๐Ÿ“œ SIMILAR VOLUMES


Global Existence of Solutions of Volterr
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 \(\