Results 71 to 80 of about 552 (107)
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley +1 more source
Stability of the Volterra Integrodifferential Equation [PDF]
, 2013 In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
core
On second‐order multivalued impulsive functional differential inclusions in Banach spaces
Abstract and Applied Analysis, Volume 6, Issue 6, Page 369-380, 2001., 2001 A fixed point theorem for condensing maps due to Martelli is used to investigate the existence of solutions to second‐order impulsive initial value problem for functional differential inclusions in Banach spaces.
M. Benchohra +2 more
wiley +1 more source
Some spectral properties of fourth order differential operator equation
, 2018 We consider boundary value problem for fourth order differential equation with unbounded discrete operator coefficient. One of the boundary conditions involves the λ parameter. The asymptotics of spectrum of corresponding selfadjoint operator is obtained.
N. Aslanova +2 more
semanticscholar +1 more source
Nonlocal conditions for differential inclusions in the space of functions of bounded variations
Advances in Difference Equations, 2011 We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Boucherif Abdelkader, Agarwal Ravi
doaj
Asymptotic stability of solutions to abstract differential equations [PDF]
, 2010 An evolution problem for abstract differential equations is studied. The typical problem is: $$\dot{u}=A(t)u+F(t,u), \quad t\geq 0; \,\, u(0)=u_0;\quad \dot{u}=\frac {du}{dt}\qquad (*)$$ Here $A(t)$ is a linear bounded operator in a Hilbert space $H ...
Ramm, A. G.
core +4 more sources
Almost periodic evolution systems with impulse action at state-dependent moments
, 2016 We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert +3 more
core +1 more source
Open Journal of Mathematical Analysis, 2018 The aim of this paper is to present a viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. The strong convergence of the viscosity rules is proved with some assumptions. This paper extend and improve results presented
Muhammad Akmal +2 more
semanticscholar +1 more source
, 2018 We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on the boundary of the mountain, which improves the well known results (\cite ...
Ding, Liang +2 more
core +1 more source
Interval-valued functional integro-differential equations
, 2014 This paper is devoted to studying the local and global existence and uniqueness results for interval-valued functional integro-differential equations (IFIDEs).
N. Hoa +3 more
semanticscholar +1 more source