On the number of solutions of the Neumann problem for the ordinary second order differential equation
Abstract
We have found conditions for the nonlinearity f which are sufficient for the existence of at least two solutions to the Neumann problem for the equation u" + f(t,u,u') = s.
References
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2. M.N. Nkashama, J. Santanilla, Existence of multiple solutions for some nonlinear boundary value problems, Journal Diff. Equations 84 (1990) 148-164.
3. I. Rachůnková, The first kind periodic solutions of differential equations of the second order, Math. Slovaca 39 (1989) 407-415.
4. I. Rachůnková, Multiplicity results for four-point boundary value problems, Nonlinear Anal., TMA 18 (1992) 497-505.
RachůnkováI. (1993). On the number of solutions of the Neumann problem for the ordinary second order differential equation. Annales Mathematicae Silesianae, 7, 79-87. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14248
Irena Rachůnková
Department of Mathematics, Palacký Univeristy, The Czech Republic Czechia
Department of Mathematics, Palacký Univeristy, The Czech Republic Czechia
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