A partial differential inequality for dissipative nonlinear systems
β Scribed by Matthew R. James
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 383 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0167-6911
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π SIMILAR VOLUMES
We propose a new procedure for designing finite-difference schemes that inherit energy conservation or dissipation property from complex-valued nonlinear partial differential equations (PDEs), such as the nonlinear SchrΓΆdinger equation, the Ginzburg-Landau equation, and the Newell-Whitehead equation
In this paper, we consider the following nonlinear differential inequality: y(t) {~ (Β’(t))' +/(~, ~(t))} < o, (El) where ~p and f satisfy some suitable conditions. Let y(t) be a nontrivial solution of (El). We show that the zeros of y(t) are simple; y(t) and y'(t) have at most finite number of zeros