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In this article, we discuss that an initial-oblique derivative boundary value problem for nonlinear uniformly parabolic complex equation of second order A0 u z1z¡Re[Quzz+A1 u z ]¡ ^ ...
In this paper we investigate the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space $R^{1+(1+n)}$ in the first quadrant. Under the assumptions that...
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
This paper is concerned with the existence and multiplicity ofsymmetric positive solutions for the following second-orderthree-point boundary value problem:u''(t)+a(t)f(t,u(t))=0, 0
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
In this work, we investigate the solvability of the problem \frac{\partial2w}{\partial \overlinef 2}=f Re\{if(z)w(z)\}=g1(z),Rew\overlinef(z)=g2(z) z \in \partial D in the unit disk of complex plane. ...
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.
In this note, we prove the conjecture of Payne and Schaefer [2], regarding an overdetermined boundary value problem for the triharmonic operator, Δ3 = ΔΔΔ. It is deduced that if a solution of the prob...
In this paper, we prove the existence and uniqueness of generalized solution of the mixed boundary value problem for semilinear elliptic equation in domains with edges. In addition, some results on sm...
In this paper, we give a new method to solve a nonlinear system of second order two-point boundary value problem. Its exact solutions are represented in the form of series in the reproducing kernel sp...
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...
In this paper we prove the existence and regularity of solutions to the first boundary value problem for Abreu’s equation, which is a fourth order nonlinear partial differential equation closely relat...
In this paper we study the periodic boundary value problem for a nonlinear ordinary differential equation of second order. We give sufficient and necessary conditions for the existence of periodic sol...

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