Impulsive periodic boundary value problems of first-order differential equations
By Jianli Li, J. J. Nieto, Jianhua Shen. 2007
176 citations recorded by the source corpus.
In this paper, by using Schaeffer's theorem, we prove new existence theorems for a nonlinear periodic boundary value problem of first-order differential equations with impulses. Our results improve and generalize some known results.
Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/7b19d474a1c8790183b1f4055872e90870cd7662
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In Applied Mathematics
- Rathinasamy Sakthivel
- J. J. Nieto
- Nazim Idrisoglu Mahmudov
- Jifeng Chu
- Rong Yuan
- Christopher C. Tisdell
- Jinhai Chen
- Jerzy Klamka
In Control and Systems Engineering
- Rathinasamy Sakthivel
- J. J. Nieto
- Nazim Idrisoglu Mahmudov
- Jifeng Chu
- Rong Yuan
- Christopher C. Tisdell
- Jinhai Chen
- Jerzy Klamka
In Numerical Analysis
- J. J. Nieto
- Rathinasamy Sakthivel
- Jifeng Chu
- Nazim Idrisoglu Mahmudov
- Rong Yuan
- Christopher C. Tisdell
- Jinhai Chen
- Tuncer Acar
Citations in the corpus
- APPROXIMATE CONTROLLABILITY OF NONLINEAR DETERMINISTIC AND STOCHASTIC SYSTEMS WITH UNBOUNDED DELAY (2010, background): “In recent years, existence of solutions of impulsive differential equations have been investigated in several works [24, 25, 28, 41].”
- Impulsive periodic solutions of first‐order singular differential equations (2008, methodology): “These classical techniques include the coincidence degree theory of Mawhin [19, 20], the method of upper and lower solutions [2, 7, 25] and some fixed point theorems [1, 18].”
- On the solvability of periodic boundary value problems with impulse (2007, background): “Our new results compliment and extend those of [8], [11], [12] and [17] in the sense that we allow super-linear growth of ‖f(t, p)‖ in ‖p‖.”