Results 61 to 70 of about 9,366 (253)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
The Sobolev-type equations of the second order with the relatively dissipative operator pencils
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
doaj +3 more sources
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
Mathematical 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
Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical 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
Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type. [PDF]
ScientificWorldJournal, 2022 Lizarazo V, De la Cruz R, Lizarazo J.
europepmc +1 more source
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical 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
On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems
Advances 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