Back to Search
Start Over
On a Volterra Integral Equation with Delay, via w -Distances.
- Source :
-
Mathematics (2227-7390) . Sep2021, Vol. 9 Issue 18, p2341-2341. 1p. - Publication Year :
- 2021
-
Abstract
- The paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for the study of existence and uniqueness of solutions, we rewrite the equation as a fixed point problem. The assumptions take into account the support of w-distance and the complexity of the delay equation. Gronwall-type theorem and comparison theorem are also discussed using a weak Picard operator technique. In the end, an example is provided to support our results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VOLTERRA equations
*INTEGRAL equations
*EXISTENCE theorems
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 152716516
- Full Text :
- https://doi.org/10.3390/math9182341