Results 21 to 30 of about 30 (30)
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic‐parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 481-494, 1996., 1995 In this paper we deal with the equation L(d2u/dt2) + B(du/dt) + Au∋f, where L and A are linear positive selfadjoint operators in a Hilbert space H and from a Hilbert space V ⊂ H to its dual space V′, respectively, and B is a maximal monotone operator from V to V′.
Pierluigi Colli, Angelo Favini
wiley +1 more source
Remarks on the existence and decay of the nonlinear beam equation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 409-412, 1994., 1993 We will consider a class of nonlinear beam equation and we will prove the existence and decay weak ...
Jaime E. Mũnoz Rivera
wiley +1 more source
A class of singularly perturbed evolution systems
International Journal of Stochastic Analysis, Volume 7, Issue 2, Page 179-190, 1994., 1994 In this paper we study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singularly perturbed
N. U. Ahmed
wiley +1 more source
Impulsive nonlocal nonlinear parabolic differential problems
International Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993 The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
wiley +1 more source
A parabolic differential equation with unbounded piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 339-346, 1992., 1991 A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t − [λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
wiley +1 more source
An existence theorem for differential inclusions on Banach space
International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 123-129, 1992., 1991 In this paper we consider the question of existence of solutions for a large class of nonlinear differential inclusions on Banach space arising from control theory.
N. U. Ahmed
wiley +1 more source
Boundary value problems for partial differential equations with piecewise contant delay
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 363-379, 1991., 1991 The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied.
Joseph Wiener
wiley +1 more source
Partial differential equations with piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 485-496, 1991., 1990 The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in partial derivatives.
Joseph Wiener, Lokenath Debnath
wiley +1 more source
Nonlinear evolution equations on Banach space
International Journal of Stochastic Analysis, Volume 4, Issue 3, Page 187-202, 1991., 1991 In this paper we consider the questions of existence and uniqueness of solutions of certain semilinear and quasilinear evolution equations on Banach space. We consider both deterministic and stochastic systems. The approach is based on semigroup theory and fixed point theorems.
N. U. Ahmed
wiley +1 more source