[PDF] Top 20 On a Nonlinear Nonlocal Cauchy Problem
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On a Nonlinear Nonlocal Cauchy Problem
... For some recent results on fully nonlinear nonlocal Cauchy problems, see [5]-[7]. In general, the existing results require a Lipschitz condition on F or g , or a compactness assumption on g . In ... See full document
5
Effect of Weight Function in Nonlinear Part on Global Solvability of Cauchy Problem for Semi Linear Hyperbolic Equations
... [2] A. B. Aliev and B. H. Lichaei, “Existence and Non-Exis- tence of Global Solutions of the Cauchy Problem for High- er Semi-Linear Pseudo-Hyperbolic Equations,” Nonlinear Analysis, Theory, Methods ... See full document
5
Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions
... with nonlocal boundary ...as nonlocal problems (see [3–5] and the references ...such nonlocal models is boundary value problem for elliptic equation with nonlocal boundary conditions ... See full document
16
Global Well Posedness for Certain Density Dependent Modified Leray Models
... Fan, “Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-α model,” Nonlinear Analysis, Theory, Methods and Applications, vol.. Fan, “On the Cauchy problem for a Leray-α-MH[r] ... See full document
7
Remarks on weak solutions for a nonlocal parabolic problem
... We prove a result on existence and uniqueness of weak solutions for a diffusion prob- lem associated with nonlinear diffusions of nonlocal type studied by Chipot and Lovat (1999) by an application of the ... See full document
10
Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation
... E , while A t , B t , and C t are families of linear or nonlinear differential type operators acting in E , some of which become zero or infinite at t 0 . They considered appropriate initial data u ... See full document
8
On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders
... Fractional calculus, dealing with arbitrary order differential and integral operators, re- ceived great attention during the last few decades. Many researchers focused on develop- ing the theoretical aspects, methods of ... See full document
14
On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
... characteristic problem in a linear case, that is, for problem ...the nonlinear summand f (u), this prob- lem is, as is known, formulated correctly, and the global solvability in the corresponding ... See full document
18
Estimates and Asymptotic of Self similar Solutions to a Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Conditions
... The next stage of the investigation is to study the asymp- totic behavior of self-similar solutions of the problem (1)-(3) to enable us to obtain numerical results. We show that the function (10) constructed by ... See full document
5
On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms
... A quasilinearization technique due to Lakshmikantham [9] is applied to obtain an analytic approximation of the solution of the problem (1.1-1.2). In fact, we obtain sequences of upper and lower solutions ... See full document
11
Solvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses
... However, the research on boundary value problems of fractional order coupled systems is relatively scarce. Inspired by the above-mentioned issues, the main aim of this paper is to study the existence and uniqueness of ... See full document
17
Global 1 Estimation of the Cauchy Problem Solutions to the Navier Stokes Equation
... solutions associated with the continuous spectrum for the nonlinear equations, which allows us to focus solely on the behavior associated with the decomposition of the solutions to the discrete spectrum. In the ... See full document
11
Asymptotics for critical nonconvective type equations
... The aim of the present paper is to obtain the large-time asymptotic behavior of solu- tions to the Cauchy problem for the nonlinear evolution equations (1.1) in the critical case. Note that the ... See full document
29
Numerical study of the nonlinear Cauchy diffusion problem and Newell-Whitehead equation via cubic B-spline quasi-interpolation
... for Cauchy problem of ill-posed nonlinear diffusion equation, International Journal of Numerical Methods for Heat and Fluid Flow, 23 (2013) ... See full document
11
Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses
... the nonlocal boundary value problems have been widely studied by many researchers because of their extensive applications in, ...the nonlocal boundary value problem for a nonlin- ear fractional ... See full document
13
On the existence of positive solutions for generalized fractional boundary value problems
... solved Cauchy linear fractional type problems within this ...of nonlinear fractional initial value problems, and they proved the existence and uniqueness of ... See full document
20
Navier Stokes Equations—Millennium Prize Problems
... scattering problem, and this is then used to estimate of solutions of the Cauchy problem for the Navier-Stokes ...one-dimensional nonlinear equa- tions [5]-[8], but to date, there have been no ... See full document
13
On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation
... the Cauchy problem periodic in the spatial variable for the usual cubic nonlinear Schrödinger equation and construct an infinite sequence of invariant mea- sures associated with higher conservation ... See full document
20
Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition
... Abstract. In this paper we study the existence of solutions for initial value problem for a class of nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition. Our results ... See full document
11
Nonlocal Impulsive Cauchy Problems for Evolution Equations
... By going a new way, that is, by combining operator semigroups, the techniques of approximate solutions, noncompact measures, and the fixed point theory, we obtain new existence results for problem 1.1, which ... See full document
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