Results 11 to 20 of about 2,472 (168)
Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation
Nonlinear Analysis, 2019 In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.
Ahmed El-Sayed, Reda Gamal
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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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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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Symmetries and Reductions of Integrable Nonlocal Partial Differential Equations [PDF]
Symmetry, 2019 In this paper, symmetry analysis is extended to study nonlocal differential equations. In particular, two integrable nonlocal equations are investigated, the nonlocal nonlinear Schrödinger equation and the nonlocal modified Korteweg–de Vries equation.
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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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Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Tychynin, V. +2 more
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