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Oscillation of time fractional vector diffusion-wave equation with fractional damping

Ramesh R., Harikrishnan S., Nieto J. J., Prakash P.

Opuscula Mathematica

2020

Vol. 40, no. 2

291--305

In this paper, sufficient conditions for H-oscillation of solutions of a time fractional vector diffusion-wave equation with forced and fractional damping terms subject to the Neumann boundary condition are established by employing certain fractional differential inequality, where H is a unit vector in Rn. The examples are given to illustrate the main results.

Instability to nonlinear vector differential equations of fifth order with constant delay

Tunҫ C.

Journal of Mathematics and Applications

2013

Vol. 36

121--130

We consider a certain vector differential equation of the fifth order with a constant delay. We give new certain sucient conditions which guarantee the instability of the zero solution of that equation. An example is given to illustrate the theoretical analysis made in the paper.