Applications of Schauder's fixed point theorem to singular differential equations

By Jifeng Chu, Pedro J. Torres. 2007

76 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/44478ef46156d02c108ca5f8982839906af83a66

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. Haiyan Wang
3. N. Fan
4. J. J. Nieto
5. Pedro J. Torres
6. Daniel Franco
7. Bashir Ahmad
8. Sotiris K. Ntouyas

In Geometry and Topology

1. Haiyan Wang
2. Jifeng Chu
3. N. Fan
4. Pedro J. Torres
5. J. J. Nieto
6. Bessem Samet
7. Ljubomir Ciric
8. Vasile Berinde

In Numerical Analysis

1. Jifeng Chu
2. Haiyan Wang
3. N. Fan
4. J. J. Nieto
5. Pedro J. Torres
6. Daniel Franco
7. Bashir Ahmad
8. Meirong Zhang

Citations in the corpus

• Positive periodic solutions of singular systems with a parameter (2010, background): “However, more recently, the existence of positive periodic solutions of the singular systems has been established with a weak force condition [3,4,11,12,20,21,26,27].”
• Periodic solutions of second order non-autonomous singular dynamical systems (2007, unknown): “All rights reserved. doi:10.1016/j.jde.2007.05.007”
• Periodic solutions for second order singular damped differential equations (2012, methodology): “Some classical tools have been used to study singular differential equations in the literature, including the method of upper and lower solutions [2, 25], degree theory [30, 31, 33], some fixed point theorems in cones for completely continuous operators [11, 26, 27], Schauder’s fixed point theorem [”
• Impulsive periodic solutions of first‐order singular differential equations (2008, result): “We also remark that for the periodic singular problems, even without impulse effects, similar results are more restrictive and only few references [5, 14, 30] can be found.”