Results 71 to 80 of about 14,741 (209)
MathematicsThis study delves into the spatial characteristics of solutions for a specific class of evolution equations that incorporate biharmonic operators. The process begins with the construction of an energy function.
Jincheng Shi, Yiwu Lin
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Harmonic Functions for a Class of Integro-differential Operators [PDF]
Potential Analysis, 2009 We consider the operator $\sL$ defined on $C^2(\bR^d)$ functions by \sL f(x)&=&{1/2}\sum_{i,j=1}^d a_{ij}(x)\frac{\partial^2f(x)}{\partial x_i\partial x_j}+\sum_{i=1}^d b_i(x)\frac{\partial f(x)}{\partial x_i} &+&\int_{\bR^d\backslash\{0\}}[f(x+h)-f(x)-1_{(|h|\leq1)}h\cdot \grad f(x)]n(x,h)dh. Under the assumption that the local part of
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Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with variable coefficient [PDF]
, 2005 Copyright @ 2005 ...
Mikhailov, SE
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Mathematical Modeling of Measured Recalescence Velocities
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 977-988, 30 January 2026.ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov +3 more
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Several Characterizations of the Generalized 1-Parameter 3-Variable Hermite Polynomials
MathematicsThis paper presents a novel framework for introducing generalized 1-parameter 3-variable Hermite polynomials. These polynomials are characterized through generating functions and series definitions, elucidating their fundamental properties.
Shahid Ahmad Wani +2 more
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An Integro-differential Operator Approach to Linear Differential Systems
IFAC-PapersOnLine, 2022 In this paper, we initiate a new algebraic analysis approach to linear differential systems based on rings of integro-differential operators. Within this algebraic analysis approach, we first interpret the method of variations of constants as an operator identity.
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A comment on some new definitions of fractional derivative
, 2018 After reviewing the definition of two differential operators which have been recently introduced by Caputo and Fabrizio and, separately, by Atangana and Baleanu, we present an argument for which these two integro-differential operators can be understood ...
Giusti, Andrea
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Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT Model reduction is an active research field to construct low‐dimensional surrogate models of high fidelity to accelerate engineering design cycles. In this work, we investigate model reduction for linear structured systems using dominant reachable and observable subspaces.
Celine Reddig +3 more
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Nonlocal boundary value problem for a Lykov's type system of first-order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 In this paper we prove the unique solution of the problem with a shift to a Lykov's type system of differential equations of first order. The proof is given for different values of the generalized operators of fractional integro-differentiation included ...
Oleg A Repin, Svetlana K Kumykova
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On Recovering Integro-Differential Operators from the Weyl Function
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2017 Summary: We study inverse problems of spectral analysis for second order integro-differential operators, which are a perturbation of the Sturm-Liouville operator by the integral Volterra operator. We pay the main attention to the nonlinear inverse problem of recovering the potential from the given Weyl function provided that the kernel of the integral ...
Ignat'ev, Mikhaĭl Yur'evich +1 more
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