Results 21 to 30 of about 298,615 (267)
AxiomsThis survey provides a systematic review of delayed matrix functions and their role in deriving explicit solutions for linear discrete delay systems. Tracing the evolution from foundational single-delay first-order systems to sophisticated multi-delay ...
Fatemah Mofarreh, Ahmed M. Elshenhab
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Integral representation of the solutions to Heun's biconfluent equation
Abstract and Applied Analysis, 2004 First, we trace the genesis of the canonical form of Heun's biconfluent equation. Second, we present a method which allows us to find an integral expression as a solution to our equation, and finally, using the properties of Meijer G-functions, we give ...
S. Belmehdi, J.-P. Chehab
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Representation of Security and Dependability Solutions
, 2009 Las consideraciones sobre la Ambient Intelligence (AmI) nos llevan a argumentar que es esencial que los mecanismos de Seguridad y Fiabilidad (S&D) puedan adaptarse a las condiciones contextuales renovables para poder aplicarse a los escenarios de AmI en constante cambio.
Sánchez-Cid, Francisco +5 more
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Representation of solution for a linear fractional delay differential equation of Hadamard type
Advances in Difference Equations, 2019 This paper is devoted to seeking the representation of solutions to a linear fractional delay differential equation of Hadamard type. By introducing the Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we ...
Peng Yang, JinRong Wang, Yong Zhou
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A Representation for the Solution of Fredholm Integral Equations [PDF]
Proceedings of the American Mathematical Society, 1969 This paper provides a new representation formula for the solution of Fredholm integral equations of the second kind. The formula has certain computational advantages over the usual representation involving the resolvent or the representation formula of Krein.
Kagiwada, H. H. +2 more
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MathematicsThis study formulates closed-form solution expressions for linear discrete matrix equations that involve several time delays, without requiring the coefficient matrices or the non-homogeneous term to commute.
Ahmed M. Elshenhab +2 more
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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Advances in Mathematical Physics, 2021 In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpress the classical Painlevé second Lax pair in new setting introducing gauge transformations to yield its Darboux expression in additive form. The new linear
Irfan Mahmood, Muhammad Waseem
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Cup‐like nuclei are a distinctive morphological feature observed in certain cases of acute lymphoblastic leukemia (ALL). We provide evidence that they characterize DUX4/ERG ALL independently of IKZF1 deletion and reveal marked mitochondrial accumulation in this ALL subset.
Chloé Arfeuille +9 more
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Fundamental Solution of the Volkov Problem (Characteristic Representation) [PDF]
Journal of Nonlinear Mathematical Physics, 1998 The characteristic representation, or Goursat problem, for the Klein-Fock-Gordon equation with Volkov interaction [1] is regarded. It is shown that in this representation the explicit form of the Volkov propagator can be obtained. Using the characteristic representation technique, the Schwinger integral [2] in the Volkov problem can be calculated.
Borghardt, A. A., Karpenko, D. Ya.
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