Mathematical Programming and Integro-Differential Equations. II. Variable Coefficients

1966 ◽  
Vol 3 (3) ◽  
pp. 383-389 ◽  
Author(s):  
Wayne T. Ford
Keyword(s):  
Mathematical Programming ◽  
Differential Equations ◽  
Variable Coefficients

MODELING OF NONLINEAR VIBRATION PROBLEMS WITH FLUID FLOWS THROUGH PIPELINES

2018 ◽  
pp. 44-47
Author(s):  
F.J. Тurayev
Keyword(s):  
Differential Equations ◽  
Nonlinear Vibration ◽  
Viscoelastic Properties ◽  
Construction Material ◽  
Fluid Flows ◽  
Variable Coefficients ◽  
Algebraic Equations ◽  
Flowing Liquid ◽  
Vibration Problems

In this paper, mathematical model of nonlinear vibration problems with fluid flows through pipelines have been developed. Using the Bubnov–Galerkin method for the boundary conditions, the resulting nonlinear integro-differential equations with partial derivatives are reduced to solving systems of nonlinear ordinary integro-differential equations with both constant and variable coefficients as functions of time.A system of algebraic equations is obtained according to numerical method for the unknowns. The influence of the singularity of heredity kernels on the vibrations of structures possessing viscoelastic properties is numerically investigated.It was found that the determination of the effect of viscoelastic properties of the construction material on vibrations of the pipeline with a flowing liquid requires applying weakly singular hereditary kernels with an Abel type singularity.

scholarly journals Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Fatima N. Ahmed ◽  
Rokiah Rozita Ahmad ◽  
Ummul Khair Salma Din ◽  
Mohd Salmi Md Noorani
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Variable Coefficients ◽  
Oscillatory Behaviour ◽  
Neutral Delay ◽  
Neutral Equations ◽  
First Order ◽  
All Solutions ◽  
Neutral Delay Differential Equations ◽  
Delay Differential

We study the oscillatory behaviour of all solutions of first-order neutral equations with variable coefficients. The obtained results extend and improve some of the well-known results in the literature. Some examples are given to show the evidence of our new results.

scholarly journals Series method to solve conformable fractional ric-cati differential equations

2017 ◽  
Vol 6 (1) ◽  
pp. 30
Author(s):  
Mohammed Al Masalmeh
Keyword(s):  
Differential Equations ◽  
Fractional Derivative ◽  
Boundary Control ◽  
Series Solution ◽  
Stochastic Games ◽  
Variable Coefficients ◽  
Conformable Fractional Derivative ◽  
Series Method ◽  
Previous Definition ◽  
Hyperbolic Boundary

This paper investigates and states some properties of conformable fractional derivative, Further Study and applies the series solution for a case of conformable fractional Riccati deferential equation with variable coefficients “which is arising in stochastic games” or “hyperbolic boundary control." Recently, Prof. Roshdi Khalil introduced a new and interesting definition for the C F D, which is simpler than the previous definition in Caputo and Riemann-Liouville. It leads to many extensions of the classical theorems in calculus.

scholarly journals Numerical study of time-fractional fourth-order differential equations with variable coefficients

2011 ◽  
Vol 23 (1) ◽  
pp. 91-98 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Nasir-Uddin Khan ◽  
Muhammad Ayaz ◽  
Amir Mahmood ◽  
Noor Fatima
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Numerical Study ◽  
Variable Coefficients
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