Sentence examples for bounded regular solution of from inspiring English sources

Each bounded regular solution of the equation (1.5) is oscillatory.

(a) Each bounded regular solution of the equation (1.5) is oscillatory.

We study the existence of solutions to the fractional elliptic equation (E1) αu+ϵg(|∇u|)="ν in an open bounded regular domain Ω of RN(N⩾2), subject to the condition (E2) u="0 in Ωc, where ϵ="1 or −1, α denotes the fractional Laplacian with α∈(1/2,1), ν is a Radon measure and g:R+↦R+ is a continuous function.

Irreducible representations of the convolution algebraM Hn) of bounded regular complex Borel measures on the Heisenberg group Hnare analyzed.

Let u ( x, t ) be a regular solution of (1 -(4).

(a Each unbounded regular solution of (1.1) is oscillatory.

Each unbounded regular solution of the equation (1.5) is oscillatory.

The existence, uniqueness, and coercive estimates of maximal regular solution of problem (1.1 - 1.2 1.1 - 1.2ined.

Under these conditions, we prove the existence of a unique regular solution of this problem.

(a) Each unbounded regular solution of the equation (1.5) is oscillatory.  .

Lemma 4 Let u be the unique regular solution of Problem  B.