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Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation - MaRDI portal

Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation (Q2298324)

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Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation
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    Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation (English)
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    20 February 2020
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    Summary: We consider a \(2m\)th-order nonlinear difference equation containing both advance and retardation with \(\phi_{\mathrm{c}} \)-Laplacian. Using the critical point theory, some new and concrete criteria for the existence of homoclinic solutions with mixed nonlinearities are obtained.
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