Results 71 to 80 of about 11,623,619 (358)
The Cauchy problem for operator-Boussinesq equations
, 2017 In this paper, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equation is obtained. By applying this result, the Cauchy problem for systems of Boussinesq equations of finite or infinite orders are ...
Shakhmurov, Veli
core
On the nonlocal Cauchy problem for semilinear fractional order evolution equations
, 2014 In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam.
Jinrong Wang, Yong Zhou, Michal Feckan
semanticscholar +1 more source
JCPP Advances, EarlyView.Abstract Background This study aims to evaluate the clinical value of using QbCheck in routine Attention Deficit Hyperactive Disorder (ADHD) clinics by investigating longitudinal inter‐domain relationships between objective neurocognitive outcomes of QbCheck and subjective clinical outcomes: ADHD core symptoms, impairment and quality of life (QoL ...
Seungjae Lee +3 more
wiley +1 more source
Cauchy Problem with Subcritical Nonlinearity
Journal of Mathematical Analysis and Applications, 1997 The authors consider the asymptotic behaviour of solutions of parabolic systems \[ u_t=- Au+f(u_1,\dots,u_d,\dots, \partial^\alpha_iu_j,\dots),\;i\leq n,\;j\leq d,\;(x,t)\in\mathbb{R}^n\times \mathbb{R}_+,\tag{1} \] with \(u(0,x)= u_0(x)\). In (1), \(A\) is a linear matrix operator of uniformly elliptic type of order \(2m\) while the order \(\alpha ...
Cholewa, Jan W, Dlotko, Tomasz
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Macromolecular Materials and Engineering, EarlyView.A rigorous method, Total Illumination by X‐rays (TIX), is presented to quantify crystalline and amorphous phases in organic materials. Mitigating challenges such as low microabsorption and high amorphous content, an improved, general framework is established, applicable to polymers, MOFs, biological materials, etc.
Shaashwat Saraff +2 more
wiley +1 more source
N Wave and Periodic Wave Solutions for Burgers Equations
International Journal of Analysis and Applications, 2020 This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to ...
Zahia Nouri +2 more
doaj
Some Properties of Blow up Solutions in the Cauchy Problem for 3D Navier–Stokes Equations [PDF]
, 2020 В. И. Семенов
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясыThe article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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Entropy-bounded solutions to the Cauchy problem of compressible planar non-resistive magnetohydrodynamics equations with far field vacuum [PDF]
, 2023 Jinkai Li +3 more
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