Existence and uniqueness of solutions for a nonlinear second order differential equation in Hilbert space

Dang Dinh Hai
1990 Proceedings of the Edinburgh Mathematical Society  
This paper is concerned with the existence and uniqueness of solutions for the Picard boundary value problem in a real Hilbert space. Our theorems improve corresponding results of Mawhin for \k\ large. 1980 Mathematics subject classifications (1985 Revision): 34G20, 34B15.
doi:10.1017/s0013091500028911 fatcat:teearihmezd7lo22nj76j6s45u