Results 61 to 70 of about 2,840,866 (277)
Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
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On the existence of mild solutions to some semilinear fractional integro-differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2010 This paper deals with the existence of a mild solution for some fractional semilinear differential equations with non local conditions. Using a more appropriate definition of a mild solution than the one given in [12], we prove the existence and ...
Toka Diagana +2 more
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Dynamically Consistent Analysis of Realized Covariations in Term Structure Models
Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
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Analyticity of positive semigroups is inherited under domination [PDF]
, 2022 Jochen Glück
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Notes on analytic convoluted C-semigroups
Publications de l'Institut Mathematique, 2010 We establish some new structural properties of exponentially bounded, analytic convoluted C-semigroups and state a version of Kato?s analyticity criterion for such a class of operator semigroups. Our characterizations completely cover the case of analytic fractionally integrated C-semigroups.
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Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
wiley +1 more source
On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation
Abstract and Applied Analysis, 2014 We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
Chunyan Huang
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Fréchet Differentiability of Parameter-Dependent Analytic Semigroups
Journal of Mathematical Analysis and Applications, 1999 The authors study dependence on a vector-valued parameter \(q\) of a collection of analytic semigroups \(\{T(t;q), t\geq 0\}\). The analyticity of the map \(q\mapsto T(t;q)\) in the uniform operator topology is established and, moreover, the Fréchet derivative of \(T(t;q)\) with respect to \(q\) is given by a norm-convergent contour integral.
Seubert, S, Wade, J.G
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit +5 more
wiley +1 more source
Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method
Results in Applied MathematicsThis article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method.
M. Manjula +3 more
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