Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations

By Kexue Zhang, Xinzhi Liu. 2010

46 citations recorded by the source corpus.

This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are obtained. Examples are discussed to illustrate the validity of the obtained results.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5e27599f22a250bd1dc811d67bcd84f42a858d52

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jifeng Chu
2. J. J. Nieto
3. Bashir Ahmad
4. Bessem Samet
5. Pedro J. Torres
6. Vasile Berinde
7. Ljubomir Ciric
8. Ravi P. Agarwal

In Modeling and Simulation

1. J. J. Nieto
2. Jifeng Chu
3. Bashir Ahmad
4. Yong Zhou
5. Ahmed Alsaedi
6. Jinrong Wang
7. Emile-Franc Doungmo Goufo

In Numerical Analysis

1. Jifeng Chu
2. J. J. Nieto
3. Bashir Ahmad
4. Pedro J. Torres
5. Bessem Samet
6. Haiyan Wang
7. Ravi P. Agarwal
8. Donal O'Regan

Citations in the corpus

• 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].”