Existence of non-trivial solution for superlinear system of integral equations and its applications
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