Results 11 to 20 of about 158 (55)
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
Effect of Torso Non-Homogeneities in the quasi-static inverse problems arising in electrocardiology
Moroccan Journal of Pure and Applied Analysis, 2019 In the present paper, an homogeneous and non-homogeneous inverse problem constrained by the stationary problem in electrocardiology representing the heart, lungs surfaces, and torso model is investigated.
Ainseba BedrEddine +2 more
doaj +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
wiley +1 more source
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
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On the propagation of an optical wave in a photorefractive medium [PDF]
Mathematical Models and Methods in Applied Sciences 17, 11 (2007)
1883-1904, 2007 The aim of this paper is first to review the derivation of a model describing the propagation of an optical wave in a photorefractive medium and to present various mathematical results on this model: Cauchy problem, solitary waves.
arxiv +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
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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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Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term [PDF]
Math. Meth. Appl. Sci., 31(6), 655-664, 2008, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.
arxiv +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