scholarly journals Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Jian Zu
Keyword(s):  
Periodic Solution ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence And Uniqueness ◽  
Second Order

scholarly journals Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Yuanhong Wei
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Periodic Solutions ◽  
Function Space ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Second Order ◽  
Second Order Differential Equations

We study some second order ordinary differential equations. We establish the existence and uniqueness in some appropriate function space. By using Schauder’s fixed-point theorem, new results on the existence and uniqueness of periodic solutions are obtained.

scholarly journals Concept of gH Differentiability in Solving Second Order Linear Homogeneous ODEs Based on the Relation between FLT and Its kth Derivative for the Case in Fuzzy Environment

2022 ◽  
Vol 5 (1) ◽  
pp. 1-13
Author(s):  
Habib H. ◽  
Tahir A. ◽  
Musa S. ◽  
Yusuf K.P.
Keyword(s):  
Differential Equations ◽  
Laplace Transform ◽  
Ordinary Differential Equations ◽  
Existence And Uniqueness ◽  
Second Order ◽  
Uniqueness Of Solutions ◽  
Order Linear ◽  
Fuzzy Environment ◽  
Fuzzy Laplace Transform

In this study, a fuzzy Laplace transform is used to solve second order linear homogeneous ordinary differential equations. The solution obtained is based on the concept of gH differentiability and the relation between the fuzzy Laplace transform and its derivative for is obtained. Examples are constructed for the existence and uniqueness of solutions of second order FODE.

scholarly journals Some fixed point results for $ \alpha $-admissible extended $ \mathcal{Z} $-contraction mappings in extended rectangular $ b $-metric spaces

2021 ◽  
Vol 7 (3) ◽  
pp. 3701-3718
Author(s):  
Yan Sun ◽  
◽  
Xiao-lan Liu ◽  
Jia Deng ◽  
Mi Zhou ◽  
...  
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Contraction Mappings

<abstract><p>In this paper, we introduce $ \alpha $-admissible extended $ \mathcal{Z} $-contraction in the extended rectangular $ b $-metric spaces, then we provide some other conditions in Theorem 3.1, which are different from that in Chifu et al. <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, and obtain the existence and uniqueness of fixed point in such spaces. Moreover, some examples are given to show the validity of our main theorems, and we give some corollaries related to our main results. As an application, we apply our main results to solve the existence of solutions for a class of boundary value problems of second order ordinary differential equations.</p></abstract>

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