Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Semilinear systems with a multi-valued nonlinear term

100%

Kim I.-S., Hong S.-J.

Open Mathematics

2017

tom 15

nr 1

628-644

Introducing a topological degree theory, we first establish some existence results for the inclusion h ∈ Lu − Nu in the nonresonance and resonance cases, where L is a closed densely defined linear operator on a Hilbert space with a compact resolvent and N is a nonlinear multi-valued operator of monotone type. Using the nonresonance result, we next show that abstract semilinear system has a solution under certain conditions on N = (N1, N2), provided that L = (L1, L2) satisfies dim Ker L1 = ∞ and dim Ker L2 < ∞. As an application, periodic Dirichlet problems for the system involving the wave operator and a discontinuous nonlinear term are discussed.

Ograniczanie wyników

1 Open Mathematics

1 Hong S.-J.

1 Kim I.-S.

1 2017

Wyniki wyszukiwania

Semilinear systems with a multi-valued nonlinear term