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Volume 28, Issue 4
The Existence of Three Positive Solutions for $p$-Laplacian Difference Equation with Delay

Linjun Wang & Chengchun Gong

Commun. Math. Res., 28 (2012), pp. 337-348.

Published online: 2021-05

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  • Abstract

In this paper, we study the multiplicity of positive solutions for a class of $p$-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we also provide two numerical examples to illustrate the theoretical results.

  • AMS Subject Headings

39A10, 34B18, 34K28

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COPYRIGHT: © Global Science Press

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@Article{CMR-28-337, author = {Wang , Linjun and Gong , Chengchun}, title = {The Existence of Three Positive Solutions for $p$-Laplacian Difference Equation with Delay}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {4}, pages = {337--348}, abstract = {

In this paper, we study the multiplicity of positive solutions for a class of $p$-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we also provide two numerical examples to illustrate the theoretical results.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19035.html} }
TY - JOUR T1 - The Existence of Three Positive Solutions for $p$-Laplacian Difference Equation with Delay AU - Wang , Linjun AU - Gong , Chengchun JO - Communications in Mathematical Research VL - 4 SP - 337 EP - 348 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19035.html KW - $p$-Laplacian, difference equation, delay, fixed point theorem. AB -

In this paper, we study the multiplicity of positive solutions for a class of $p$-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we also provide two numerical examples to illustrate the theoretical results.

Wang , Linjun and Gong , Chengchun. (2021). The Existence of Three Positive Solutions for $p$-Laplacian Difference Equation with Delay. Communications in Mathematical Research . 28 (4). 337-348. doi:
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