Topic
Maximum modulus principle
About: Maximum modulus principle is a research topic. Over the lifetime, 324 publications have been published within this topic receiving 6589 citations.
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Papers
TL;DR: In this paper, a maximum principle for the generalized time-fractional diffusion equation over an open bounded domain G × ( 0, T ), G ⊂ R n is formulated and proved.
364 citations
TL;DR: The main result of as discussed by the authors is that there exists at most one periodic (or almost periodic) solution for a system whose solutions are convergent, which is the only criterion of convergence we know of.
Abstract: with XI:R2--.R continuous functions together with their partial derivatives Xij= =coXi/coxj, i , j= 1, 2. The functions ei:]to, + oo[-~R, to>_. o% are such as to guarantee the existence of solutions of any initial problem for (1). The solutions of (1) are said to be convergent if for each pair of solutions of (1), (xl , x2) and (Yl, Y2), which are defined on a neighborhood of the point + o0, we have xi( t ) -y i ( t ) -*O when t ~ + 0% i = 1, 2. We easily see that there exists at the most one periodic (or almost periodic) solution for a system whose solutions are convergent. The main result of this note is the following criterion of convergence:
229 citations
147 citations
127 citations
1 Apr 1967
80 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 4 |
| 2020 | 7 |
| 2019 | 8 |
| 2018 | 4 |
| 2017 | 9 |
| 2016 | 7 |