Results 31 to 40 of about 331,915 (277)

Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses

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
doaj   +1 more source

Local existence and blowing up phenomena for a class of non-autonomous partial functional differential equations with infinite delay

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, Ezzinbi Khalil, Kyelem Bila Adolphe   +2 more
doaj   +1 more source

Stochastic Reaction-diffusion Equations Driven by Jump Processes

, 2018
We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional.
A Debussche, A Debussche, A Friedman, A Lunardi, A Pazy, A Truman, A Truman, BPW Fernando, C Marinelli, C Mueller, C Mueller, D Applebaum, D Applebaum, E Hausenblas, E Hausenblas, E Hausenblas, E Hausenblas, E Motyl, E Saint Loubert Bié, Erika Hausenblas, F Flandoli, G Da Prato, G Da Prato, G Di Blasio, G Dore, H Brézis, H Triebel, H Triebel, J Bergh, J Diestel, J Zhu, JL Lions, JP Kahane, K-I Sato, KR Parthasarathy, L Mytnik, M Metivier, M Reed, M Röckner, N Ikeda, N Jacob, O Kallenberg, P Billingsley, P Kotelenez, Paul André Razafimandimby, R Dalang, R Dudley, R Seeley, S Cerrai, S Dirksen, S Ethier, S Kwapień, S Peszat, S Peszat, T Runst, V Mandrekar, W Whitt, Y Giga, Z Brzezńiak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Dong, Z Dong, Zdzisław Brzeźniak   +69 more
core   +1 more source

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
core   +4 more sources

Oscillation criteria for neutral partial functional differential equations [PDF]

Differential Equations & Applications, 2013
Some new oscillation criteria are established for second order neutral partial functional differential equations of the form ∂ ∂t p(t) ∂ ∂t u(x,t)+ l ∑ i=1 λi(t)u(x,t − τi)
Run Xu, Fanwei Meng
openaire   +1 more source

Existence and stability of mild solutions to parabolic stochastic partial differential equations driven by Lévy space-time noise

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
doaj   +1 more source

Pulmonary Dysfunction Is Associated With Sleep Study Abnormalities in Children With Sickle Cell Disease: A Multicenter Study

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, Anis Rabbani Nourani, A. K. M. Fazlur Rahman, Dima Ezmigna, Tarig Ali‐Dinar   +4 more
wiley   +1 more source

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
doaj   +2 more sources

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
doaj   +1 more source

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, C Lellis De, CM Dafermos, CM Dafermos, D Bresch, E Chiodaroli, E Chiodaroli, J Lowengrub, L Desvillettes, M Kotschote, M Kotschote, P Antonelli, P Antonelli, S Benzoni-Gavage, S Benzoni-Gavage   +14 more
core   +1 more source