Proceedings of the American Mathematical Society· 2012Q1
On a new class of abstract impulsive differential equations
- 499citations
- Q1SCImago
- 2012year
Short summary
A new class of abstract impulsive differential equations with non-instantaneous impulses is introduced, along with definitions for mild and classical solutions.
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Key points
- Introduces abstract impulsive differential equations with non-instantaneous impulses.
- Defines concepts of mild and classical solutions for this equation class.
- Establishes existence results for these solutions.
- Includes an example involving a partial differential equation.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this note we introduce a new class of abstract impulsive differential equations for which the impulses are not instantaneous. We introduce the concepts of mild and classical solution and we establish some results on the existence of these types of solutions. An example involving a partial differential equation is presented.
The authors' abstract, as published at the source. Proceedings of the American Mathematical Society, 2012 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics