Sentence examples for bounded solutions of a from inspiring English sources

Finally, the existence of bounded solutions of a functional equation is studied.

Also Cuevas and Pinto [4] have shown that under certain conditions there is a one to one correspondence between weighted bounded solutions of a linear Volterra difference equation with unbounded delay and its perturbation.

We give a new and easier proof for the convergences result of L. Simon [15] concerning global and bounded solutions of a heat equation with analytic nonlinearity.

In this work, we introduce a linear finite-difference methodology to approximate non-negative and bounded solutions of a coupled system of nonlinear parabolic partial differential equations that describes the growth of two different microbial colonies on a substrate of nutrients.

Now, we investigate bounded functions satisfying each of (2.2) and (2.3) (see [4, 11 13] for bounded solutions of an exponential functional equation).

Now, we study the existence and uniqueness of the bounded solution of a functional equation using again Corollary 2.2.

The presented results are applied to obtain the solution of an integral equation and the bounded solution of a functional equation arising in dynamic programming.

As a consequence of the presented results, we discuss the existence and uniqueness of the common bounded solution of a functional equation arising in dynamic programming.

Like ({H_infty }) filter design without delay, the filtering problem is transformed to seeking a bounded solution of a Riccati differential equation.

and nonoscillation of all bounded solutions of the equations (1.5).

If, then all bounded solutions of (1.1) are nonoscillatory.