Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces

By Lishan Liu, Fei Guo, Congxin Wu, Yonghong Wu. 2005

151 citations recorded by the source corpus.

In this paper, first a new fixed point theorem is established, and then, by the use of it, the existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces are investigated. The results obtained in this paper generalize and improve the results corresponding to those obtained by others.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/55917cf224a6d4bf9c44c4cf640a8c08f1a30f9a

How researchers see this paper

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In Applied Mathematics

1. Yongxiang Li
2. Pengyu Chen
3. Xuping Zhang

In Modeling and Simulation

1. Yongxiang Li
2. Pengyu Chen
3. Xuping Zhang

Citations in the corpus

• Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families (2021, background): “In this paper we only assume that the nonlinear function f is Carathéodory continuous, which is weaker than f is uniformly continuous required in [20], [22], [25], [26] and [32].”
• Abstract Cauchy problem for fractional differential equations (2013, unknown): “[1].”