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Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

100

Long Y., Zhang Y., Shi H.

Open Mathematics

2016

tom 14

nr 1

520-530

By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and

improve some known ones.

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Three solutions to discrete anisotropic problems with two parameters

100

Galewski M., Kowalski P.

Open Mathematics

2014

tom 12

nr 10

1403-1415

In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.

Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator

Khaleghi Moghadam M., Henderson J.

Open Mathematics

2017

tom 15

nr 1

1075-1089

Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are

included to illustrate the main results.

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Ograniczanie wyników

3 Open Mathematics

Wyniki wyszukiwania

Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

Three solutions to discrete anisotropic problems with two parameters

Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator

Ograniczanie wyników

3 Open Mathematics

1 Galewski M.

1 Henderson J.

1 Khaleghi Moghadam M.

1 Kowalski P.

1 Long Y.

1 Shi H.

1 Zhang Y.

1 2017

1 2016

1 2014