Results 71 to 80 of about 1,528,269 (143)

Global Solution and Stability of a Haptotaxis Mathematical Model for Complex MAP

Mathematics
A critical function of polymeric matrices in biological systems is to exert selective control over the transport of thousands of nanoparticulate species.
Hongbing Chen, Fengling Jia
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Global classical solutions to the Cauchy problem for a nonlinear wave equation

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper we consider the Cauchy problem {u″+M(|A12u|2)Au=0   in   ]0,T[u(0)=u0,       u′(0)=u1, where u′ is the derivative in the sense of distributions and |A12u| is the H-norm of A12u.
Haroldo R. Clark
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Classical solutions of the Fornberg–Whitham equation

Involve, a Journal of Mathematics
In this paper, we prove well-posedness in $C^1(\mathbb{R})$ (a.k.a. classical solutions) of the Fornberg-Whitham equation. To achieve this objective, we study its weak formulation under a Lagrangian framework. Applying the fundamental theorem of ordinary differential equations to the generated semi-linear system, we then construct a unique solution to ...
Burkhalter, Georgia, Thompson, Ryan C., Waldrep, Madison   +2 more
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Classical solutions of nonlinear Schr�dinger equations

Manuscripta Mathematica, 1986
The author considers the initial value problem for the nonlinear Schrödinger equation \[ iu_ t-\Delta u+q(| u|^ 2)u=0, \] in \((t,x)\in {\mathbb{R}}\times {\mathbb{R}}^ n\), for q(s) a smooth real-valued function on \({\mathbb{R}}\) having the growth order \[ | q(s)| \leq C(1+| s|^{(p-1)/2}),\quad ...
openaire   +1 more source

Exact solutions of the classical Boussinesq system

Arab Journal of Basic and Applied Sciences, 2018
In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
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Existence of the classical and strong solutions for fractional semilinear initial value problems

Boundary Value Problems, 2018
We prove the existence and uniqueness of classical and strong solutions of a fractional semilinear evolution equation using the method of a semigroup and the Banach fixed theorem.
A. Al-Omari, H. Al-Saadi
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Piecewise weighted pseudo almost periodic solutions of impulsive integro-differential equations via fractional operators

Electronic Journal of Differential Equations, 2015
In this article, we show sufficient conditions for the existence, uniqueness and attractivity of piecewise weighted pseudo almost periodic classical solution of nonlinear impulsive integro-differential equations.
Zhinan Xia, Dingjiang Wang
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Classical solution for compressible Navier-Stokes-Korteweg equations with zero sound speed

Advances in Nonlinear Analysis
We consider the compressible Navier-Stokes-Korteweg equations describing the dynamics of a liquid-vapor mixture with diffuse interphase in Rd{{\mathbb{R}}}^{d} with d≥3d\ge 3 when the initial perturbation is suitably small.
Liu Mengqian, Wu Zhigang
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Pedagogical Statement of Freedom Problem and its Classical Solution [PDF]

Вестник Свято-Филаретовского института, 2014
The problem of freedom as “the key question of education and moral philosophy”, according to K. D. Ushinsky, is analyzed within the context of modern situation in educational philosophy. The theory of moral education of S. I.
Fedor Kozyrev
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Initial-boundary value problem of plasma-charge model in the half space

Electronic Journal of Differential Equations
This article studies an initial-boundary value problem for the plasma-charge model in a half-space. We establish the existence of classical local solutions when the point charges are in motion, and the existence of classical global solutions when the ...
Jingpeng Wu, Min Zhu
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