scholarly journals Sufficient conditions for stability of linear differential equations with distributed delay

2001 ◽  
Vol 1 (2) ◽  
pp. 233-256 ◽  
Author(s):  
Samuel Bernard ◽  
◽  
Jacques Bélair ◽  
Michael C Mackey ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Linear Differential Equations ◽  
Linear Differential

scholarly journals On non-homogeneous canonical third-order linear differential equations

1994 ◽  
Vol 57 (2) ◽  
pp. 138-148 ◽  
Author(s):  
N. Parhi
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Sufficient Conditions ◽  
Linear Differential Equations ◽  
Third Order ◽  
Order Linear ◽  
Non Linear ◽  
Linear Differential ◽  
Non Linear Equations

AbstractIn this paper sufficient conditions have been obtained for non-oscillation of non-homogeneous canonical linear differential equations of third order. Some of these results have been extended to non-linear equations.

scholarly journals Boundedness of Solutions for Second Order Differential Equations

2020 ◽  
Vol 12 (4) ◽  
pp. 58
Author(s):  
Daniel C. Biles
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Boundedness Of Solutions ◽  
Second Order Differential Equations ◽  
All Solutions ◽  
Non Linear ◽  
Linear Differential

We present new theorems which specify sufficient conditions for the boundedness of all solutions for second order non-linear differential equations. Unboundedness of solutions is also considered.

On the integrability of solutions of perturbed non-linear differential equations

1977 ◽  
Vol 77 (3-4) ◽  
pp. 309-318 ◽  
Author(s):  
Paul W. Spikes
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Order Differential Equation ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Second Order Differential Equation ◽  
All Solutions ◽  
Non Linear ◽  
Linear Differential

SynopsisSufficient conditions are given to insure that all solutions of a perturbed non-linear second-order differential equation have certain integrability properties. In addition, some continuability and boundedness results are given for solutions of this equation.

scholarly journals Fractal Oscillations of Chirp Functions and Applications to Second-Order Linear Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Mervan Pašić ◽  
Satoshi Tanaka
Keyword(s):  
Differential Equations ◽  
Periodic Function ◽  
Fundamental System ◽  
Sufficient Conditions ◽  
Linear Differential Equations ◽  
Fractal Curve ◽  
Box Counting ◽  
Box Counting Dimension ◽  
All Solutions ◽  
Linear Differential

We derive some simple sufficient conditions on the amplitude , the phase and the instantaneous frequency such that the so-called chirp function is fractal oscillatory near a point , where and is a periodic function on . It means that oscillates near , and its graph is a fractal curve in such that its box-counting dimension equals a prescribed real number and the -dimensional upper and lower Minkowski contents of are strictly positive and finite. It numerically determines the order of concentration of oscillations of near . Next, we give some applications of the main results to the fractal oscillations of solutions of linear differential equations which are generated by the chirp functions taken as the fundamental system of all solutions.

Sign in / Sign up

Export Citation Format

Share Document