Results 71 to 80 of about 12,177,110 (235)
Современная математика: Фундаментальные направления, 2019 We consider boundary-value problems for differential-difference equations containing incommeasurable shifts of arguments in higher-order terms. We prove that in the case of finite orbits of boundary points generated by the set of shifts of the difference
E. P. Ivanova
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A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a ...
A. M. Shkhagapsoev
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Nonlocal active sound control for composite regions
Mathematical Methods in the Applied Sciences, EarlyView.In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
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Vestnik KRAUNC: Fiziko-Matematičeskie NaukiIn this paper, we investigate a nonlocal boundary value problem for a time-fractional hyperbolic-type partial differential equation involving fractional derivatives of regularized Prabhakar.
Turdiev, Kh.N.
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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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Nonlocal q-fractional boundary value problem with Stieltjes integral conditions
Nonlinear Analysis, 2019 In this paper, we are dedicated to investigating a new class of one-dimensional lower-order fractional q-differential equations involving integral boundary conditions supplemented with Stieltjes integral.
Jing Ren, Chengbo Zhai
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
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On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations [PDF]
, 2000 Criteria for the existence and uniqueness of a solution of a nonlocal second order boundary value problem are estabilished.
MALAGUTI, Luisa, A. Lomtatidze
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A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
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Attention‐Based Spatial–Temporal Model for the Entire Indoor Space Temperature Estimation
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.This study proposes a novel attention‐based spatial–temporal model for indoor temperature estimation, which integrates positional encoding and an attention mechanism with a fully connected neural network. By jointly capturing temporal dynamics and spatial correlations, the model enables high‐resolution estimation of temperature fields across the entire
Goro Terumichi +3 more
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