We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution
Capietto, A., Dalbono, F. (2002). Multiplicity results for systems of asymptotically linear second order equations. ADVANCED NONLINEAR STUDIES, 2(4), 325-356 [10.1515/ans-2002-0401].
Multiplicity results for systems of asymptotically linear second order equations
DALBONO, Francesca
2002-01-01
Abstract
We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution
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