Results 41 to 50 of about 275 (53)
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
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A free boundary model for transport-induced neurite growth
European Journal of Applied MathematicsWe introduce a free boundary model to study the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled to ...
Greta Marino +2 more
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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
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Advances in Nonlinear AnalysisThe Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making ...
Biondini Gino +2 more
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Inhomogeneous Boundary Value Problem for Hartree Type Equation
, 2009 In this paper, we settle the problem for time-dependent Hartree equation with inhomogeneous boundary condition in a bounded Lipschitz domain in $\mathbb{R}^{N}$.
Adams R. A., Li Ma, Pei Cao
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Global existence results for nonlinear Schrodinger equations with quadratic potentials [PDF]
, 2004 We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component.
Umr Cnrs, Universite ́ Bordeaux
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Well-Posedness of the Cauchy Problem for Inhomogeneous Time-Fractional Pseudo-Differential Equations [PDF]
, 2006 Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12In the present paper the Cauchy problem for partial inhomogeneous pseudo-differential equations of fractional order is analyzed. The solvability theorem for the Cauchy problem in
Saydamatov, Erkin
core
Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems
Advances in Difference Equations, 2011 In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj
Degenerate dispersive equations arising in the study of magma dynamics
, 2006 An outstanding problem in Earth science is understanding the method of transport of magma in the Earth's mantle. Models for this process, transport in a viscously deformable porous media, give rise to scalar degenerate, dispersive, nonlinear wave ...
Adams R A +21 more
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A Short Proof of Increased Parabolic Regularity
, 2015 We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates, can be extended to ...
Michalowski, Nicholas +1 more
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