Affiliation:
1. DEPARTMENT OF MATHEMATICS, BABEŞ-BOLYAI UNIVERSITY, FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, CLUJ-NAPOCA, ROMANIA
2. TECHNICAL UNIVERSITY OF CLUJ-NAPOCA , CLUJ-NAPOCA, ROMANIA. TIBERIU POPOVICIU INSTITUTE OF NUMERICAL ANALYSIS, ROMANIAN ACADEMY,CLUJ-NAPOCA, ROMANIA
Abstract
T. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a,\infty \lbrack). In 2019, I. A. Rus formalized this notion (I. A. Rus, Some variants of contraction principle in the case of operators with Volterra property: step by step contraction principle, Advances in the Theory of Nonlinear Analysis and its Applications, 3 (2019) No. 3, 111–120), put “step by step” instead of “progressive” in this notion, and give some variant of step by step contraction principle in the case of operators with Volterra property on C([a,b],\mathbb{B)} and C([a,\infty \lbrack,\mathbb{B}) where \mathbb{B} is a Banach space. In this paper we use the abstract result given by I. A. Rus, to study some classes of functional differential equations with maxima.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Cited by
5 articles.
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