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This paper is concerned with a kind of first-order singular differential equations with impulses. The main purpose of this paper is to study the existence, uniqueness, and globally exponential stability… Click to show full abstract
This paper is concerned with a kind of first-order singular differential equations with impulses. The main purpose of this paper is to study the existence, uniqueness, and globally exponential stability of the positive piecewise pseudo-almost periodic solutions. The main tools utilized to establish our results consist of the contraction mapping principle and generalized Gronwall–Bellmain inequality. Two examples are given at the end of the paper to illustrate the main results.
Keywords:
equations impulses;
first order;
order singular;
positive piecewise;
differential equations;
singular differential
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017
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Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!