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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Boundary conditions for the single-factor term structure equation
, 2011 We study the term structure equation for single-factor models that predict nonnegative short rates. In particular, we show that the price of a bond or a bond option is the unique classical solution to a parabolic differential equation with a certain ...
Ekström, Erik, Tysk, Johan
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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
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Incompressible limit for the compressible viscoelastic fluids in critical space
Advances in Nonlinear AnalysisIn this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
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Positive solutions of an elliptic equation with strongly nonlinear lower order terms [PDF]
, 1989 Sin ...
Thelin, Francois de
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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
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Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]
, 2013 A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
core
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
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Stability on 3D Boussinesq system with mixed partial dissipation
Advances in Nonlinear AnalysisIn the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia +3 more
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Linear vs. nonlinear effects for nonlinear Schrodinger equations with potential [PDF]
, 2004 We review some recent results on nonlinear Schrodinger equations with potential, with emphasis on the case where the potential is a second order polynomial, for which the interaction between the linear dynamics caused by the potential, and the nonlinear ...
Carles R. +13 more
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