Abstract
In this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continuous and uniqueness part using Banach contraction mapping. Also study the existence of strict solution on reflexive and general Banach spaces. In the last section, an example is provided related to this theory.
| Original language | English |
|---|---|
| Article number | 100376 |
| Journal | Results in Control and Optimization |
| Volume | 14 |
| DOIs | |
| State | Published - Mar 2024 |
Keywords
- Continuous dependence
- Integral solution
- Integrated resolvent operator
- Neutral integro-differential equations
- Strict solution
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