Sentence examples for solution of the delay from inspiring English sources

Let be a solution of the delay integral inequality (3.1).

Finally, we prove the solution of the delay equation to converge to the solution of the original second order abstract differential equation as the delay parameter τ goes to zero.

If A ≥ 0 and ρ ( A ) < 1, then ( E − A ) − 1 ≥ 0. Theorem 3.1 Let y ∈ C [ R, R + n ] be a solution of the delay integral inequality (3) (4).

Moreover, if we choose a constant vector v such that A v ≤ 1 2 A b + b θ, then u ̲ = A v can be considered as a lower solution of the delay differential equation (3.13).

If (x t)) is an eventually positive solution of the delay differential equation x'(t)+sum_{i=1}^{n}p_{i}(t)x t- tau_{i})=0, (2.4) then, for the same i, liminf_{trightarrowinfty}frac{x t-tau_{i})}{x(t)}< infty.

Malinowski [6] studied the existence and uniqueness result of solution to the delay set-valued differential equations under the condition that the right-hand side of an equation is Lipschitzian in the functional variable.

Numerical algorithms for computing the integrals involving generalized functions and for solution of the delay-integro-differential equation are developed.

It is proved that the equation with disturbance also possesses homoclinic orbit, and there exists solitary wave solution of the delayed Camassa Holm equation.

Malinowski [6] studied the existence and uniqueness result of the solution to the delay set-valued differential equations under the condition that the right-hand side of the equation is Lipschitzian in the functional variable.

Malinowski [23] studied the existence and uniqueness result of a solution to the delay set-valued differential equation under condition that the right-hand side of the equation is Lipschitzian in the functional variable.

In this paper we discuss the asymptotic behavior of solutions of the delay dynamic equation.