Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions
Advances in Difference Equations, 2011 We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space.
Wang Rong-Nian, Xia Jun
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On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, EarlyView.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
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On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
European Journal of Mathematical AnalysisIn this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
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The Cauchy Problem for a Hyperbolic Second Order Equation with Data on the Parabolic Line [PDF]
, 1954 Murray H. Protter
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On some properties of the asymptotic Samuel function
Mathematische Nachrichten, EarlyView.Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring.
A. Bravo, S. Encinas, J. Guillán‐Rial
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Stabilization of solutions for semilinear parabolic systems as $|x|o infty$
Electronic Journal of Differential Equations, 2009 We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
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On the Cauchy problem for a degenerate parabolic differential equation
International Journal of Mathematics and Mathematical Sciences, 1998 The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.
Ahmed El-Fiky
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On the uniqueness of the non-negative solution of the homogeneous Cauchy problem for a system of partial differential equations [PDF]
, 1955 A. Pliś
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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