scholarly journals Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation

2021 ◽  
Vol 6 (8) ◽  
pp. 8352-8366
Author(s):  
Velusamy Kavitha ◽  
◽  
Dumitru Baleanu ◽  
Jeyakumar Grayna ◽  
Keyword(s):  
Differential Equation ◽  
Second Order ◽  
Neutral Differential Equation ◽  
Almost Automorphic ◽  
Pseudo Almost Automorphic ◽  
Pseudo Almost Automorphic Solution

scholarly journals Existence of μ-pseudo almost automorphic solutions to a neutral differential equation by interpolation theory

Filomat ◽  
2014 ◽  
Vol 28 (3) ◽  
pp. 603-614 ◽  
Author(s):  
Yong-Kui Chang ◽  
Xiao-Xia Luo
Keyword(s):  
Differential Equation ◽  
Existence Results ◽  
Neutral Differential Equation ◽  
Interpolation Theory ◽  
Almost Automorphic ◽  
Almost Automorphic Functions ◽  
Pseudo Almost Automorphic ◽  
Fixed Point Methods ◽  
Automorphic Functions ◽  
Composition Theorem

In this paper, we shall deal with ?-pseudo almost automorphic solutions to a neutral differential equation. To achieve this goal, we first prove a composition theorem for ?-pseudo almost automorphic functions under suitable conditions, and then apply it to investigate some existence results by the interpolation theory and fixed point methods.

Oscillation of neutral second order half-linear differential equations without commutativity in deviating arguments

2017 ◽  
Vol 67 (3) ◽  
Author(s):  
Simona Fišnarová ◽  
Robert Mařík
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Second Order ◽  
Neutral Differential Equation ◽  
Linear Differential Equations ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Linear Differential

AbstractIn this paper we derive oscillation criteria for the second order half-linear neutral differential equationwhere Φ(

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