Sentence examples for periodic problem for from inspiring English sources

David Scott, a prominent structural engineer in London who has worked on many extremely tall buildings, said that regulatory delays were a periodic problem for such projects all over the world, but could usually be overcome.

Now we shall consider the periodic problem for random differential inclusions.

The aim of this work is to consider the following periodic problem for a quasilinear parabolic equation: (1.1).

If p11p22 - p21p12< 0, then Green's matrix G t, s) of the periodic problem for system (5.14) exists and satisfies G ( t, s ) = - - - -. Proof.

If p11p22 -p21p12> 0, then Green's matrix G t, s) of the periodic problem for system (5.14) exists and satisfies G ( t, s ) = + + + +.

The first study on the periodic problem for second order singular differential equations seems to be the work of Nagumo [13] in 1943.

Therefore, for the investigation of periodic problems for the Schrödinger equation, we develop the technique of generalized inverse operators [5 8] for the original linear operator in Banach and Hilbert spaces.

In [14], Xue-Cheng studied periodic problems for a nonlinear evolution inclusion, defined on an evolution triple of spaces, driven by a monotone operator, and with a perturbation term which is multivalued.

Notice that results on the existence of solutions to the Cauchy and the periodic problems for semilinear differential inclusions in a Banach space under conditions similar to the above mentioned were obtained in the authors' papers [31, 32].

Moreover, the authors of [19, 20] proposed and solved the almost periodic problems for q-dynamic equations on the quantum time scale for the first time, and the authors introduced the theory of almost periodic functions under shift operators which can derive and include the almost periodic theory of q-dynamic equations on the quantum time scale.

We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution α and an upper solution β, which do not satisfy the ordering condition α⩽β.