Sentence examples for forced term from inspiring English sources

Without considering the influence of forced term, some oscillation criteria were given in [13].

In this paper, we have investigated asymptotic properties of solutions for an impulsive neutral differential equation with positive and negative coefficients, unbounded delays, forced term, and constant impulsive jumps.

In [22], Prakash et al. established the oscillation of a nonlinear fractional partial differential equation with damping and forced term of the form begin{aligned} &D_{+,t}^{alpha} bigl(r(t)D_{+,t}^{alpha} u x,t) bigr)+p(t)D_{+,t}^{alpha}u x,t)+q x,t f bigl u x,t) bigr) &quad=a(t) Delta u x,t)+g x,t),quad (x,t in G. end{aligned} (E3).

(F x)) is a time-independent forcing term.

where the potential and the forcing term may oscillate.

This argument has potential applications in the nonlinear wave equations with damping term, forcing term, etc.

(5) (5)Recently, oscillation of equations with a forcing term have been studied.

Now we give some hypotheses on the forcing term (f psi x,t))).

where g ( t ), h ( t ) are continuously differentiable and f ( x, t ) is a forcing term.

Note that input forcing term, ({mathbf {u_r}}), is zero for the stability analysis.

For this procedure, the forcing term f of NLS equation (2) is truncated as follows.