PERIODIC SOLUTIONS FOR NONLINEAR PARABOLIC SYSTEMS WITH SOURCE TERMS
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We have a concern with the existence of solutions (»; ´) for perturbations of the parabolic system with Dirichlet boundary condition We prove the uniqueness theorem when the nonlinearity does not cross eigenvalues. We also investigate multiple solutions (»(x; t); ´(x; t)) for perturbations of the parabolic system with Dirichlet bound- ary condition when the nonlinearity f0 is bounded and f0(¡1) < ¸1; ¸n < (3¹ + º)f0(+1) < ¸n+1.
Abstract
We have a concern with the existence of solutions (»; ´) for perturbations of the parabolic system with Dirichlet boundary condition We prove the uniqueness theorem when the nonlinearity does not cross eigenvalues. We also investigate multiple solutions (»(x; t); ´(x; t)) for perturbations of the parabolic system with Dirichlet bound- ary condition when the nonlinearity f0 is bounded and f0(¡1) < ¸1; ¸n < (3¹ + º)f0(+1) < ¸n+1.
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