EXISTENCE OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STEPANOV FORCING TERMS

We introduce a new concept of Stepanov weighted pseudo almost periodic functions of class r which have been established by recently in [20]. Furthermore, we study the uniqueness and existence of Stepanov weighted pseudo almost periodic mild solutions of partial neutral functional differential equations having the Stepanov pseudo almost periodic forcing terms on finite delay.

1. Introduction

2. Preliminaries and Notations

3. Existence results for Stepanov weighted pseudo almost periodic mild solution

4. Examples and Applications

References

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