Existence of Extremal Solutions for Impulsive Delay Fuzzy Differential Equations in n-Dimensional Fuzzy Vector Space

2012 ◽  
Vol 542-543 ◽  
pp. 188-193
Author(s):  
Young Chel Kwun ◽  
Hae Eun Youm ◽  
Ja Hong Koo ◽  
Jin Han Park ◽  
Jong Jin Seo
Keyword(s):  
Differential Equations ◽  
Vector Space ◽  
Delay Condition ◽  
Extremal Solutions ◽  
Impulsive Delay ◽  
Equations With Delay ◽  
Fuzzy Vector

In this paper, we study the existence of extremal solutions for impulsive delay fuzzy differential equations in n-dimensional fuzzy vector space. This is an extension of the result of Kwun et al. [2] to impulsive fuzzy differential equations with delay condition.

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

scholarly journals Oscillation Results for Nonlinear Higher-Order Differential Equations with Delay Term

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 446
Author(s):  
Alanoud Almutairi ◽  
Omar Bazighifan ◽  
Youssef N. Raffoul
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Higher Order ◽  
Middle Term ◽  
Delay Term ◽  
Integral Averaging Technique ◽  
Equations With Delay ◽  
Oscillation Of Solutions ◽  
Comparison Technique ◽  
Higher Order Differential Equations

The aim of this work is to investigate the oscillation of solutions of higher-order nonlinear differential equations with a middle term. By using the integral averaging technique, Riccati transformation technique and comparison technique, several oscillatory properties are presented that unify the results obtained in the literature. Some examples are presented to demonstrate the main results.

Sign in / Sign up

Export Citation Format

Share Document