Sentence examples for mixed problem of from inspiring English sources

Ikawa considered in [1] the mixed problem of a hyperbolic equation of second-order.

By using fixed point results on cones, we focus on the existence of positive solutions for a nonlinear mixed problem of singular fractional boundary value problem.

The coercive stability estimates in Hölder norms for the solutions of the mixed problem of the delay differential equations of the parabolic type are obtained.

Cavalcanti et al. [9] consider existence, uniqueness, and asymptotic behavior of global regular solutions of the mixed problem of the Kirchhoff nonlinear model for the hyperbolic-parabolic equation in non-cylindrical domains.

In practice, the coercive stability estimates in Hölder norms for the solutions of difference schemes for the approximate solutions of the mixed problem of delay parabolic equations are obtained.

The resulting boundary-value problems are reduced to classical mixed problems of potential theory.

The effective algorithms for the mixed problems of Laplace׳s equation on elliptic domains are the main goal of this paper.

There are some works about existence of solutions for the nonlinear mixed problems of singular fractional boundary value problem (see, for example, [7 11] and [12]).

According to the boundary conditions of various regions in the flow field, the mixed problems of boundary conditions and higher-order derivative are effectively solved by the Wiener Hopf technique.

In this study, the second order of accuracy stable difference scheme for the numerical solution of the mixed problem for the fractional parabolic equation is investigated.

This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem.