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evolution equation

Balitsky-JIMWLK evolution equation at NLO

Balitsky-JIMWLK evolution equation at NLO

... the evolution equation with respect to the rapidity parameter: the Balitsky-JIMWLK evolution ...Balitsky-JIMWLK evolution equation at leading order and next- to-leading order will be ...

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Global existence and blow-up of solutions for p-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition

Global existence and blow-up of solutions for p-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition

... parabolic equation with time-integral term does not seem to be so much investigated as nonlocal equations with space-integral ...p-Laplacian evolution equation with nonlinear memory ...p-Laplacian ...

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Existence and controllability of fractional evolution equation with sectorial operator and impulse

Existence and controllability of fractional evolution equation with sectorial operator and impulse

... The rest of the paper is organized as follows. In Sect. 2, we recall some definitions and notions of sectorial operators. In Sect. 3, we prove the existence, uniqueness, and nonlocal controllability of PC-mild solutions ...

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Stationary and non-stationary solutions of the evolution equation for neutrino in matter

Stationary and non-stationary solutions of the evolution equation for neutrino in matter

... Abstract. We study solutions of the equation which describes the evolution of a neutrino propagating in dense homogeneous medium in the framework of the quantum field theory. In the two-flavor model the ...

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S-asymptotically w-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion

S-asymptotically w-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion

... [8] M.A. Diop, K.Ezzinbi and M.M. Mbaye. Existence and global attractiveness of a pseudo almost periodic solution in p-th mean sense for stochastic evolution equation driven by a fractional Brownian motion. ...

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Solution of DGLAP Evolution Equation for xF3 Structure Function in Leading and Next to Leading Order at Small x

Solution of DGLAP Evolution Equation for xF3 Structure Function in Leading and Next to Leading Order at Small x

... DGLAP evolution equation like second order partial differential equation by Monges method, which is produced by introducing the second order term in Taylor expansion above, it becomes ultimately the ...

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Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

... fractional evolution equation is a general form for fractional ordinary dif- ferential equations, fractional partial differential equations, and fractional functional dif- ferential equations related to the ...

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Stability analysis for optimal control problems governed by semilinear evolution equation

Stability analysis for optimal control problems governed by semilinear evolution equation

... In this paper, the stability of solutions of optimal control for the distributed parameter system governed by a semilinear evolution equation with compact control set in the space L 1 (0, T; E) is ...

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Stepanov like pseudo almost automorphic solution to a parabolic evolution equation

Stepanov like pseudo almost automorphic solution to a parabolic evolution equation

... parabolic evolution equation can be applied to many self-organized mod- els in the real world, such as semiconductor model, forest kinematic model, chemotaxis model, Lotka-Volterra competition model, and so ...

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On the Differentiability
of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator

On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator

... the evolution equation y t Ayt with a scalar type spectral operator A in a Banach space, conditions on A are found that are necessary and sufficient for all weak solutions of the equation on 0, ∞ to be ...

28

A novel nonlinear evolution equation integrable by the inverse scattering method

A novel nonlinear evolution equation integrable by the inverse scattering method

... In the general case the last equation has been investigated insufficiently. It is likely that this is connected with the fact, noted by Whitham [11], that the high-frequency perturbations attenuate very fast. ...

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Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the  exp(- phi(Xi))-expansion Method

Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the exp(- phi(Xi))-expansion Method

... Benjamin-Bona-Mahony equation and the good Boussinesq ...nonlinear evolution equation can be expressed by a polynomial in exp(   (  )) , where  (  ) satisfies the ordinary differential ...

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Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension

Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension

... ear evolution equation in much simpler way in comparison to other existing ...nonlinear evolution equation and using this bilinear form, bilinear B¨ acklund transformations and construction of ...

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Thin Film Evolution Equation for a Strained Anisotropic Solid Film on a Deformable Isotropic Substrate

Thin Film Evolution Equation for a Strained Anisotropic Solid Film on a Deformable Isotropic Substrate

... the evolution equa- tion to study the formation of ...non-linear evolution equation with a second-order approximation for the stress field and a nonlinear wetting potential for the interface was ...

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Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition

Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition

... In this paper, we investigate an initial boundary value problem for a nonlocal p-Laplacian evolution equation with an inner absorption and weighted linear nonlocal boundary and initial conditions. By using ...

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On an abstract evolution equation with a spectral operator of scalar type

On an abstract evolution equation with a spectral operator of scalar type

... the evolution equation y (t) = Ay(t), t ∈ [0, T ) (0 < T ≤ ∞), where A is a spectral operator of scalar type in a complex Banach space X, defined by Ball (1977), are given by the formula y(t) = e tA f, t ...

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Extinction and decay estimates of solutions for a p-Laplacian evolution equation with nonlinear gradient source and absorption

Extinction and decay estimates of solutions for a p-Laplacian evolution equation with nonlinear gradient source and absorption

... where r >  and  < q ≤ . In the case λ = β = , Dibenedetto [] and Yuan et al. [] proved that the necessary and sufficient condition for the extinction to occur is  < p < . For the case λ = , Gu [] ...

17

N Fold Darboux Transformation for a Nonlinear Evolution Equation

N Fold Darboux Transformation for a Nonlinear Evolution Equation

... In Section 2, from a Lax pair in [22], we deduce sev- eral nonlinear evolution equations. For a special case, we give the N-fold DT. In Section 3, we give the N-fold Darboux matrix and the relationship between new ...

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On a nonlinear degenerate evolution equation with strong damping

On a nonlinear degenerate evolution equation with strong damping

... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ...

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Boundary value problem for one evolution equation

Boundary value problem for one evolution equation

... The characteristic property of this type of equations is the failure of the Petrovski’s “A” condi- tion when coefficients are constant [1]. In this case, Cauchy problem is incorrect in the sense of Hadamard. Hence in ...

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