Positive solutions and eigenvalue intervals for a second order p-Laplacian discrete system
نویسندگان
چکیده
منابع مشابه
Homoclinic solutions for second order discrete p-Laplacian systems
* Correspondence: hxfcsu@sina. com Department of Mathematics and Computer Science Jishou University, Jishou, Hunan 416000, P. R. China Full list of author information is available at the end of the article Abstract Some new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p-Laplacian systems by critical point theory, a homoclinic orbit is obtained as...
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and Applied Analysis 3 Lemma 2.1. Suppose that G t, s is defined as above. Then we have the following results: 1 0 ≤ G t, s ≤ G s, s , 0 ≤ t, s ≤ 1, 2 G t, s ≥ ηtG s, s , 0 ≤ t, s ≤ 1. Proof. It is easy to see that 1 holds. To show that 2 holds, we distinguish four cases. i If t ≤ s ≤ η, then G t, s t ≥ ηts ηtG s, s . 2.4 ii If s ≤ t and s ≤ η, then G t, s s ≥ ηts ηtG s, s . 2.5 iii If t ≤ s an...
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Copyright q 2011 Y. Li and T. Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We are concerned with the following second-order p-Laplacian dynamic equations on time scales ϕ p x Δ t ∇ λft, xt, x Δ t 0, t ∈ 0, T T , with int...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2018
ISSN: 1687-1847
DOI: 10.1186/s13662-018-1744-2