التفاصيل البيبلوغرافية
| العنوان: |
Linear difference operator with multiple variable parameters and applications to second-order differential equations |
| المؤلفون: |
Feifan Li, Zhonghua Bi, Shaowen Yao, Yun Xin |
| المصدر: |
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-29 (2020) |
| بيانات النشر: |
SpringerOpen, 2020. |
| سنة النشر: |
2020 |
| المجموعة: |
LCC:Analysis |
| مصطلحات موضوعية: |
Difference operator, Multiple variable parameters, Periodic solution, Second-order differential equation, Analysis, QA299.6-433 |
| الوصف: |
Abstract In this article, we first investigate the linear difference operator ( A x ) ( t ) : = x ( t ) − ∑ i = 1 n c i ( t ) x ( t − δ i ( t ) ) $(Ax)(t):=x(t)-\sum_{i=1}^{n}c_{i}(t)x(t- \delta _{i}(t))$ in a continuous periodic function space. The existence condition and some properties of the inverse of the operator A are explicitly pointed out. Afterwards, as applications of properties of the operator A, we study the existence of periodic solutions for two kinds of second-order functional differential equations with this operator. One is a kind of second-order functional differential equation, by applications of Krasnoselskii’s fixed point theorem, some sufficient conditions for the existence of positive periodic solutions are established. Another one is a kind of second-order quasi-linear differential equation, we establish the existence of periodic solutions of this equation by an extension of Mawhin’s continuous theorem. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
1687-2770 |
| Relation: |
https://doaj.org/toc/1687-2770 |
| DOI: |
10.1186/s13661-019-01312-4 |
| URL الوصول: |
https://doaj.org/article/c845c95621854426a67a801726bc4fe1 |
| رقم الانضمام: |
edsdoj.845c95621854426a67a801726bc4fe1 |
| قاعدة البيانات: |
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