Results 61 to 70 of about 9,177 (234)

Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems

open access: yesAdvances in Nonlinear Analysis, 2017
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over ℝd{\mathbb{R}^{d}} and in Lp{L^{p}}-spaces with respect to tight evolution systems of measures.
Addona Davide   +2 more
doaj   +1 more source

Thermal Planar and Radial Free Jets for An Ostwald‐de Waele Fluid With Shear‐Rate Dependent Thermal Diffusivity

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The planar and radial thermal free jets for forced convection of a non‐Newtonian power‐law fluid are investigated. The thermal diffusivity is dependent on the shear‐rate and is not a constant. The flow in planar and radial thermal free jets is governed by the momentum, continuity and energy balance equations. In the stream‐function formulation,
Avnish Bhowan Magan, Rehana Naz
wiley   +1 more source

On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc

open access: yesEuropean Journal of Mathematical Analysis
In this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
doaj   +1 more source

Rational approximations for solving cauchy problems

open access: yesNew Trends in Mathematical Science, 2016
In this letter, numerical solutions of Cauchy problems are considered by multivariate Pade approximations (MPA). Multivariate Pade approximations (MPA) were applied to power series solutions of Cauchy problems that solved by using He’s variational iteration method (VIM).
TURUT, Veyis, BAYRAM, Mustafa
openaire   +5 more sources

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis   +1 more
wiley   +1 more source

Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions

open access: yesAdvances in Difference Equations, 2011
We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space.
Wang Rong-Nian, Xia Jun
doaj  

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal   +2 more
wiley   +1 more source

Stabilization of solutions for semilinear parabolic systems as $|x|o infty$

open access: yesElectronic Journal of Differential Equations, 2009
We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
doaj  

Fourier Truncation Regularization Method for a Three-Dimensional Cauchy Problem of the Modified Helmholtz Equation with Perturbed Wave Number

open access: yesMathematics, 2019
In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill-posed. The Fourier truncation regularization method is used to solve this Cauchy
Fan Yang, Ping Fan, Xiao-Xiao Li
doaj   +1 more source

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