数学
类型(生物学)
数学分析
反应扩散系统
非线性系统
应用数学
趋同(经济学)
有界函数
作者
Jorge González-Camus,Carlos Lizama
出处
期刊:Topological Methods in Nonlinear Analysis
[Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University]
日期:2020-01-19
卷期号:55 (1): 85-103
标识
DOI:10.12775/tmna.2019.061
摘要
We prove the existence of at least one globally attractive mild solution to the equation $$ \partial_t (b*[x-h(\cdot,x(\cdot))])(t) + A(x(t) - h(t,x(t))) = f(t,x(t)), \quad t\geq 0, $$ under the assumption, among other hypothesis, that $A$ is an almost sectorial operator on a Banach space $X$ and the kernel $b$ belongs to a large class, which covers many relevant cases from physics applications, in particular the important case of time-fractional evolution equations of neutral type.
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