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Landesman Lazer type results for first order periodic problems

Donal O'Regan (1997)

Commentationes Mathematicae Universitatis Carolinae

Existence of nonnegative solutions are established for the periodic problem y ' = f ( t , y ) a.eȯn [ 0 , T ] , y ( 0 ) = y ( T ) . Here the nonlinearity f satisfies a Landesman Lazer type condition.

Laplace Adomian decomposition method for solving a fish farm model

M. Sambath, K. Balachandran (2016)

Nonautonomous Dynamical Systems

In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.

Laplace type operators: Dirichlet problem

Wojciech Kozł (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We investigate Laplace type operators in the Euclidean space. We give a purely algebraic proof of the theorem on existence and uniqueness (in the space of polynomial forms) of the Dirichlet boundary problem for a Laplace type operator and give a method of determining the exact solution to that problem. Moreover, we give a decomposition of the kernel of a Laplace type operator into 𝖲𝖮 ( n ) -irreducible subspaces.

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