Mild solutions for perturbed evolution equations with infinite state-dependent delay

作者：Aoued Djillali; Baghli Bendimerad Selma

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2013, (59): 1-24.

• Perturbed semilinear functional equations
• neutral problem
• mild solution
• state-dependent delay
• fixed point
• nonlinear alternative
• semigroup theory
• Frechet spaces
• infinite delay

In this paper, we give suffcient conditions to get the existence of mild so- lutions for two classes of first order partial and neutral of perturbed evolution equations by using the nonlinear alternative of Avramescu for contractions op- erators in Frechet spaces, combined with semigroup theory. The solution here is depending on an infinite delay and is giving on the real half-line.

• 出版日期2013