Results 41 to 50 of about 2,472 (168)

To the solution of integro-differential equations with nonlocal conditions

TURKISH JOURNAL OF MATHEMATICS, 2021
Summary: We investigate linear integro-differential equations with ordinary derivatives. The kernels of the integrands depend only on the variable of integration, and the conditions involve the terms with the point and integral values of the unknown function.
Aida-Zade, Kamil R., Abdullayev, Vagif M.   +1 more
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Vibration Characteristics of Magnetostrictive Composite Cantilever Resonator with Nonlocal Effect

Sensors
Taking the nonlocal effect into account, the vibration governing differential equation and boundary conditions of a magnetostrictive composite cantilever resonator were established based on the Euler magnetoelastic beam theory. The frequency equation and
Yan Xu, Xinchun Shang, Ke Xu
doaj   +1 more source

ON ROOT FUNCTIONS OF NONLOCAL DIFFERENTIAL SECOND-ORDER OPERATOR WITH BOUNDARY CONDITIONS OF PERIODIC TYPE

Вестник КазНУ. Серия математика, механика, информатика, 2021
In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek, M. B. Ivanova, M. A. Sadybekov   +2 more
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On some linear two-point inverse problem for a multidimensional heat conduction equation with semi-nonlocal boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
It is known that V.A. Ilyin and E.I. Moiseev studied generalized nonlocal boundary value problems for the Sturm-Liouville equation, the nonlocal boundary conditions specified at the interior points of the interval under consideration. For such problems,
С.З. Джамалов, Ш.Ш. Худойкулов   +1 more
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Exact solutions for the static bending of Euler-Bernoulli beams using Eringen’s two-phase local/nonlocal model

AIP Advances, 2016
Though widely used in modelling nano- and micro- structures, Eringen’s differential model shows some inconsistencies and recent study has demonstrated its differences between the integral model, which then implies the necessity of using the latter model.
Y. B. Wang, X. W. Zhu, H. H. Dai
doaj   +1 more source

A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions

Journal of Function Spaces, 2020
This paper considers nonlinear fractional mixed Volterra-Fredholm integro-differential equation with a nonlocal initial condition. We propose a fixed-point approach to investigate the existence, uniqueness, and Hyers-Ulam-Rassias stability of solutions ...
Somia Khaldi, Rachid Mecheraoui, Aiman Mukheimer   +2 more
doaj   +1 more source

On Global Solutions of Two-Dimensional Hyperbolic Equations with General-Kind Nonlocal Potentials

Mathematics
In the case of one spatial independent variable, we study hyperbolic differential-difference equations with potentials represented as linear combinations of translations of the desired function along the spatial variable.
Andrey B. Muravnik
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Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems

Journal of Mathematics, 2020
In this paper, a class of nonlocal impulsive differential equation with conformable fractional derivative is studied. By utilizing the theory of operators semigroup and fractional derivative, a new concept on a solution for our problem is introduced.
Mohamed Hannabou, Khalid Hilal, Ahmed Kajouni   +2 more
doaj   +1 more source

Mild Solutions for Fractional Differential Equations with Nonlocal Conditions [PDF]

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of boundary value problems for loaded hyperbolic type equations

Қарағанды университетінің хабаршысы. Математика сериясы
This paper investigates a class of second-order partial differential equations describing wave processes with nonlocal effects, including cases involving fractional derivatives.
N.T. Orumbayeva, M.T. Kosmakova, T.D. Tokmagambetova, A.M. Manat   +3 more
doaj   +1 more source