Existence of non-trivial solution for superlinear system of integral equations and its applications
- 44 Downloads
In this paper, we use cone theory and topological degree theory to study superlinear system of integral equations, and obtain existence theorems for non-trivial solutions; moreover, we apply the results to two-point boundary problems of ordinary differential system of equations.
Key wordsCone topological degree theory completely continuous operators superlinear system of equations non-trivial solution
Unable to display preview. Download preview PDF.
- 1.Guo Dajun, Sun Jingxian. Nonlinear Integral Equations. Shandong Science and Technology Press, Jinan, 1987 (in Chinese)Google Scholar
- 6.Guo Dajun. Nonlinear Functional Analysis. Shandong Science and Technology Press, Jinan, 1985 (in Chinese)Google Scholar
- 7.M.A. Krasnosel’skii. Positive Solutions of Operator Equations. P. Noordhoft, Groningen, 1964Google Scholar