scholarly journals Interval oscillation criteria for second order partial differential equations with delays

2008 ◽  
Vol 212 (2) ◽  
pp. 397-405 ◽  
Author(s):  
Jizhong Wang ◽  
Fanwei Meng ◽  
Sanyang Liu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Second Order ◽  
Partial Differential ◽  
Oscillation Criteria ◽  
Interval Oscillation

scholarly journals Oscillation Properties for Second-Order Partial Differential Equations with Damping and Functional Arguments

2011 ◽  
Vol 2011 ◽  
pp. 1-14
Author(s):  
Run Xu ◽  
Yuhua Lu ◽  
Fanwei Meng
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Averaging Method ◽  
Second Order ◽  
Partial Differential ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Generalized Riccati Technique ◽  
High Degree ◽  
Oscillation Properties

Using an integral averaging method and generalized Riccati technique, by introducing a parameterβ≥1, we derive new oscillation criteria for second-order partial differential equations with damping. The results are of high degree of generality and sharper than most known ones.

scholarly journals Interval oscillation criteria for impulsive conformable partial differential equations

2019 ◽  
Vol 13 (1) ◽  
pp. 325-345
Author(s):  
G.E. Chatzarakis ◽  
K. Logaarasi ◽  
T. Raja ◽  
V. Sadhasivam
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Sufficient Conditions ◽  
Qualitative Properties ◽  
Partial Differential ◽  
Oscillation Criteria ◽  
All Solutions ◽  
Two Factors ◽  
Interval Oscillation ◽  
Impulsive Delay

In this paper, we present some sufficient conditions for the oscillation of all solutions of forced impulsive delay conformable partial differential equations. We consider two factors, namely impulse and delay that jointly affect the interval qualitative properties of the solutions of those equations. The results obtained in this paper extend and generalize some of the known results for forced impulsive conformable partial differential equations. An example illustrating the results is also given.

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 criteria of certain fractional partial differential equations

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Di Xu ◽  
Fanwei Meng
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Derivatives ◽  
Sufficient Conditions ◽  
Riccati Transformation ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Oscillation Criteria ◽  
Generalized Riccati Transformation

Abstract In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives technique with the addition of interval segmentation techniques, which enlarge the manners to demonstrate the sufficient conditions for oscillation criteria of certain fractional partial differential equations.

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