Sentence examples for problem is continuous from inspiring English sources

In the special case, when our problem is continuous, the obtained results coincide with the corresponding results in Annaby and Tharwat (J. Appl. Math. Comput. 36 291-317, 2011).

If the boundary value conditions are non-zero valued on the edges of cylinder Q, then the solution of this problem is continuous on the line of degeneracy (r=0) only if (alpha>1), i.e., only in the case of the strong degeneracy of equation (2).   2.

Next we show that the isolated eigenvalues of a regular 2mth-order spectral problem are continuous functions of all the parameters.

By finding a barrier function related to the sub-Laplacian L, we prove that the Perron solutions for linear Dirichlet problems are continuous up to the boundary.

If f of the boundary value problem (1.1) is continuous and bounded on ([0,1]timesOmegatimesmathbb{R}^{2}), problem (1.1) has a solution.

and the solution x of the inclusion problem (1.1) is continuous from Ω and X. Problem (1.1) is called a nonlinear generalized set-valued parametric ordered variational inclusions for ordered - N O D S M set-valued mappings in ordered Banach spaces.

which implies that the solution x of problem (1.1) is continuous at ρ = ρ ¯.

In the case of the weak degeneracy ((alpha<1)), the solution of Problem D1 is continuous on the line of degeneracy if only the boundary function is equal to zero at the points (P_{0}) and (P_{H}).  .

Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP),,, where is continuous.

"Today, part of the problem is the continuous degradation of the property because of inferior materials used in construction," said Mr. Medina, who is president of East River North Renewal.

Another problem is the continuous motion of all components induced by heart pulsation and respiration, which are most prominent in the lower and anterior sections of the chest.