Results 31 to 40 of about 331,931 (281)
Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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Nonautonomous Dynamical Systems, 2022 In this work, we study a class of abstract non-autonomous partial functional differential equations with infinite delay. Our main results concern the local existence of the mild solution which can blow up at the finite time.
Diop Mamadou Abdoul +2 more
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, 2012 In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
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A Characteristic Equation for Non-autonomous Partial Functional Differential Equations
Journal of Differential Equations, 2002 Using the evolution semigroup approach, the authors give a characterization of exponential stability for the nonautonomous partial functional-differential equation \[ \dot{u}(t) = A(t) u(t) + L(t) u_t,\quad t \geq s, \qquad u(t) = \varphi(t-s),\quad s-r \leq t \leq s, \] in terms of a generalized characteristic equation which is formulated on adequate ...
Gühring, Gabriele +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with well-posedness and stability of parabolic stochastic partial differential equations. Firstly, we obtain some sufficient conditions ensuring the existence and uniqueness of mild solutions, and some $\mathcal{H}$-stability ...
Chaoliang Luo, Shangjiang Guo
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How to compute the length of a geodesic on a Riemannian manifold with small error in arbitrary Sobolev norms [PDF]
, 2008 We compute the length of geodesics on a Riemannian manifold by regular polynomial interpolation of the global solution of the eikonal equation related to the line element $ds^2=g_{ij}dx^idx^j$ of the manifold.
Kampen, Joerg
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash +4 more
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Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
Journal of Inequalities and Applications, 2007 We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of ...
Hassane Bouzahir
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Oscillation for Certain Nonlinear Neutral Partial Differential Equations
International Journal of Differential Equations, 2010 We present some new oscillation criteria for second-order neutral partial functional differential equations of the form (∂/∂t){p(t)(∂/∂t)[u(x,t)+∑i=1lλi(t)u(x,t-τi)]}=a(t)Δu(x,t)+∑k=1sak(t)Δu(x,t-ρk(t))-q(x,t)f(u(x,t))-∑j=1mqj(x,t)fj(u(x,t-σj)), (x,t)∈Ω ...
Quanwen Lin, Rongkun Zhuang
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Weak solutions to problems involving inviscid fluids
, 2015 We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics.
C Audiard +14 more
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