Results 21 to 30 of about 70 (67)
Optimal Interpolation Constant for the Generalized Schrödinger-Newton System [PDF]
, 2015 [Georgiev Vladimir; Георгиев Владимир]; [Venkov George; Венков Георги]2010 Mathematics Subject Classification: 35A05, 35A15, 35Q51 ...
Georgiev, Vladimir, Venkov, George
core +1 more source
Oscillatory and periodic solutions to a diffusion equation of neutral type
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 313-348, 1999., 1999 We examine a PDE with piecewise constant time delay. The equation is of neutral type since it contains the derivative ut at different values of the t‐argument. Furthermore, the argument deviation changes its sign within intervals of unit length, so that the given PDE is alternately of retarded and advanced type.
Joseph Wiener, William Heller
wiley +1 more source
Nonlinear functional integrodifferential equations in Hilbert space
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 847-854, 1999., 1999 Let X be a Hilbert space and let Ω ⊂ Rn be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional integro‐differential equation in X by using the fundamental solution.
J. Y. Park, S. Y. Lee, M. J. Lee
wiley +1 more source
Multiple solutions for a problem with resonance involving the p‐Laplacian
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 191-201, 1998., 1998 In this paper we will investigate the existence of multiple solutions for the problem where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1 < p < ∞. Using the Mountain Pass Theorem and the Ekeland Variational Principle, we will show the existence of at least ...
C. O. Alves +2 more
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Boundary value problems for the diffusion equation with piecewise continuous time delay
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 187-195, 1997., 1996 A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at different values of time t).
Joseph Wiener, Lokenath Debnath
wiley +1 more source
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
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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
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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
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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