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Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces
Journal of Function Spaces, 2016 Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
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Stochastic models associated to a Nonlocal Porous Medium Equation
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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Chaos prediction in nano-resonators based on nonlocal elasticity theory
MATEC Web of Conferences, 2018 By decreasing the thickness of micro- and nano- beams, classical continuum theory is not accurate to predict the static and dynamic response due to the absence of length scale parameter.
Nahvi Hassan, Maleki Mehdi
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A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Boundary Controllability of Differential Equations with Nonlocal Condition
Journal of Mathematical Analysis and Applications, 1999 Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions.
Han, Hyo-Keun, Park, Jong-Yeoul
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Representations of sl(2,?) in category O and master symmetries [PDF]
, 2015 We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
J. P. Wang, Wang, Jing Ping
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Graph-to-local limit for the nonlocal interaction equation [PDF]
, 2023 We study a class of nonlocal partial differential equations presenting a tensor-mobility, in space, obtained asymptotically from nonlocal dynamics on localising infinite graphs.
Heinze, Georg +2 more
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Nonlocal Symmetries for Time-Dependent Order Differential Equations [PDF]
Symmetry, 2018 A new type of ordinary differential equation is introduced and discussed, namely, the time-dependent order ordinary differential equations. These equations can be solved via fractional calculus and are mapped into Volterra integral equations of second kind with singular integrable kernel. The solutions of the time-dependent order differential equations
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On Hyperbolic Differential Equation with Periodic Control Initial Condition
Wasit Journal of Computer and Mathematics Science, 2022 The aim of this paper to study the existence solution of some types of hyperbolic differential equation with periodicity of some controls function as nonlocal initial condition for the equation and the technical and used depended on some interest ...
Zainab Abdel Ameer, Sameer Qasim Hasan
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Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
Journal of Mathematical Analysis and Applications, 2000 The authors consider the initial value problem for an abstract nonlinear ordinary differential equation of first order in some Banach space. The initial condition, which is a nonlocal condition, is of the type \(y(0)+ g(y)=y_0\), where \(g\) is some continuous function.
Benchohra, M., Ntouyas, S. K.
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