Characterization on transcendental entire solutions of certain types of non-linear generalized delay-differential equations

2021 ◽  
Author(s):  
Tania Biswas ◽  
Abhijit Banerjee
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Entire Solutions ◽  
Non Linear ◽  
Delay Differential

OSCILLATIONS AND ASYMPTOTIC STABILITY OF ENTIRE SOLUTIONS OF LINEAR DELAY DIFFERENTIAL EQUATIONS

2021 ◽  
Vol 10 (4) ◽  
pp. 2069-2076
Author(s):  
Rajeshwari S. ◽  
S.K. Buzurg
Keyword(s):  
Differential Equation ◽  
Asymptotic Stability ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Entire Solutions ◽  
Comparison Result ◽  
Oscillatory Solutions ◽  
Linear Delay ◽  
Delay Differential ◽  
Adequate Condition

Think about the linear delay differential equation, \begin{equation}\label{1} y'(q) + \sum_{n=1}^{m} P_{n}(q) y(q-\tau_{n})=0,\quad q\geq q_{0}, \end{equation} where $P_{n}\in C([q_{0},\infty),R)$ and $\tau_{n}\geq0$ for $n=1,2,\ldots,m$. By investigating the oscillatory solutions of the linear delay differential equations, we offer new adequate condition for the asymptotic stability of the solutions of \eqref{1}. We also produce comparison result and stability of \eqref{1}.

scholarly journals ENTIRE SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS OF MALMQUIST TYPE

2020 ◽  
Vol 10 (5) ◽  
pp. 1720-1740
Author(s):  
Ran-Ran Zhang ◽  
◽  
Zhi-Bo Huang ◽  
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Entire Solutions ◽  
Delay Differential
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