[PDF] Top 20 New method for the existence and uniqueness of solution of nonlinear parabolic equation

... quasilinear parabolic second-order partial differential equations is elaborated, with emphasis on the Cauchy-Dirichlet problem and the oblique deriva- tive problem in bounded space-time domains; while in [] a ... See full document

... the existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions, and some sufficient conditions which guarantee the existence ... See full document

... a parabolic PDE, an ODE, and an integral equation determining a free boundary corresponding to the height of the ...powder. Existence and uniqueness of a solution is ...numerical ... See full document

... classical solution of the stated ...the method of contraction mappings principle the theorem of the existence and uniqueness of solutions is ...the existence and uniqueness of ... See full document

... mild solution of nonlinear Kolmogorov equations and found that the mild solution coincides with the value function of the control ...the existence and uniqueness of the mild ... See full document

... As we have seen, problem (P) includes parabolic equation which is nonlinear with re- spect to the gradient of the solution, and with variable exponents of nonlinearity. Thus it is natural to ... See full document

... the solution of fuzzy integro-differential equations of higher or- ...and uniqueness of solution of fuzzy higher order integro-differential equation and presents an ... See full document

... global existence of our nonlinear reaction diffusion of problem (P), this is done in four steps: the first step we show the positive ...the equation and shows that the problem obtained has a ... See full document

... this equation by using least square approximation method, ...the method of series solution and the Adomian decomposition method, ...and nonlinear Volterra-Fredholm integral ... See full document

... medium equation; see ...diffusion equation with convection on half line under the homogeneous Neumann boundary condition; see 14–17 and another important application aries in the problem about the evolution ... See full document

... the existence, uniqueness of solution to the corresponding problem are well understood ...Galerkin method was used. For semilinear equations, the existence of global smooth ... See full document

... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by using the coupled fixed ... See full document

... Numerical Solution of boundary value problem for ordinary differential equations, SIAM, In Applied Mathematics, United of America, ...limited, New Delhi, ... See full document

... of existence and Uniqueness of a Random Solution to Itô Stochastic Integral ...integral equation which has been of considerable importance to applied mathematicians and engineers is that ... See full document

... some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and ... See full document

... Observe that on the set K x, t 0 the equation 1 7 degenerate into parabolic equation In this paper we study existence and uniqueness of weak solution of the mixed problem for the equatio[r] ... See full document

... some new a priori one-sided upper bound and space- time higher-norm estimates on the first-order derivatives of the ...the equation is used to establish the existence of the global weak ... See full document

... degenerate parabolic variational inequality problem in a bounded ...the existence of the solutions in the weak sense are proved by using the penalty method and the reduction ... See full document

... the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the ... See full document

... The nonlinear fractional evolution equation is a general form for fractional ordinary dif- ferential equations, fractional partial differential equations, and fractional functional dif- ferential equations ... See full document