Study on the existence of solutions for a generalized functional integral equation in \(L^1\) spaces
DOI10.1186/1029-242X-2013-235zbMath1284.45003WikidataQ59300477 ScholiaQ59300477MaRDI QIDQ2637550
Jing Wang, Lijuan Yang, Gan-shan Yang
Publication date: 12 February 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
measure of weak noncompactnessfixed point theoremsuperposition operatornonlinear functional-integral equation
Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Abstract integral equations, integral equations in abstract spaces (45N05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Cites Work
- Nonlinear alternatives of Schauder and Krasnosel'skij types with applications to Hammerstein integral equations in \(L^1\) spaces
- Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
- Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
- Integrable solutions of a mixed type operator equation
- Some further generalizations of Ky Fan's minimax inequality and its applications to variational inequalities
- Krasnoselskii's fixed point theorem for weakly continuous maps.
- A nonlinear problem arising in the theory of growing cell populations
- On the functional integral equations of mixed type and integro-differential equations of fractional orders
- Existence theory for nonlinear Volterra integrodifferential and integral equations
- Some Fixed Point Theorems and Application to Biological Model
- On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford-Pettis spaces and applications
This page was built for publication: Study on the existence of solutions for a generalized functional integral equation in \(L^1\) spaces
