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Volume 32, Issue 3
Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations

Yue Lü, Peng Sun, Hua Cai & Peishan Han

DOI: 10.13447/j.1674-5647.2016.03.09

Commun. Math. Res., 32 (2016), pp. 272-280.

Published online: 2021-05

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  • Abstract

In this paper, we study the existence of multiple positive periodic solutions for the second order differential equation $$x''(t) + p(t)x' (t) + q(t)x(t) = f(t, x(t)).$$ By using Krasnoselskii fixed point theorem, we establish some criteria for the existence and multiple positive periodic solutions for this differential equation.

  • Keywords

positive periodic solution, multiplicity, differential equation, Krasnoselskii fixed point theorem.

  • AMS Subject Headings

35J30, 35J35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-32-272, author = {Lü , YueSun , PengCai , Hua and Han , Peishan}, title = {Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {3}, pages = {272--280}, abstract = {

In this paper, we study the existence of multiple positive periodic solutions for the second order differential equation $$x''(t) + p(t)x' (t) + q(t)x(t) = f(t, x(t)).$$ By using Krasnoselskii fixed point theorem, we establish some criteria for the existence and multiple positive periodic solutions for this differential equation.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.03.09}, url = {http://global-sci.org/intro/article_detail/cmr/18899.html} }
TY - JOUR T1 - Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations AU - Lü , Yue AU - Sun , Peng AU - Cai , Hua AU - Han , Peishan JO - Communications in Mathematical Research VL - 3 SP - 272 EP - 280 PY - 2021 DA - 2021/05 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.03.09 UR - https://global-sci.org/intro/article_detail/cmr/18899.html KW - positive periodic solution, multiplicity, differential equation, Krasnoselskii fixed point theorem. AB -

In this paper, we study the existence of multiple positive periodic solutions for the second order differential equation $$x''(t) + p(t)x' (t) + q(t)x(t) = f(t, x(t)).$$ By using Krasnoselskii fixed point theorem, we establish some criteria for the existence and multiple positive periodic solutions for this differential equation.

Lü , YueSun , PengCai , Hua and Han , Peishan. (2021). Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations. Communications in Mathematical Research . 32 (3). 272-280. doi:10.13447/j.1674-5647.2016.03.09
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