Results 41 to 50 of about 44,008 (295)

On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation

open access: yesMathematics, 2021
In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral
Ahmed El-Sayed   +2 more
doaj   +1 more source

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

open access: yes, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip   +14 more
core   +1 more source

Nonlocal q-fractional boundary value problem with Stieltjes integral conditions

open access: yesNonlinear Analysis: Modelling and Control, 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. This condition is more general as it contains an arbitrary order derivative.
Jing Ren, Chengbo Zhai
openaire   +4 more sources

On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2019
A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered.
Dovlet M. Dovletov
doaj   +1 more source

Extension the Noether's theorem to Lagrangian formulation with nonlocality

open access: yes, 2012
A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C.   +3 more
core   +1 more source

New nonlocal effective action [PDF]

open access: yes, 2002
We suggest a new method for the calculation of the nonlocal part of the effective action. It is based on resummation of perturbation series for the heat kernel and its functional trace at large values of the proper time parameter.
A. M. Polyakov   +8 more
core   +3 more sources

On one coefficient inverse boundary value problem for a linear pseudoparabolic equation of the fourth order

open access: yesAIMS Mathematics, 2023
In the present work, we consider an inverse boundary value problem for a fourth order pseudo parabolic equation with periodic and integral condition.
Yashar Mehraliyev   +2 more
doaj   +1 more source

Spectrum Curves for Sturm–Liouville Problem with Integral Boundary Condition

open access: yesMathematical Modelling and Analysis, 2015
We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1, ξ2 ([ξ1, ξ2] is a domain of integration).
Agnė Skučaitė, Artūras Štikonas
doaj   +1 more source

Numerical solution to elliptic inverse problem with Neumann-type integral condition and overdetermination

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
doaj   +1 more source

A Gauge field Induced by the Global Gauge Invariance of Action Integral

open access: yes, 2007
As a general rule, it is considered that the global gauge invariance of an action integral does not cause the occurrence of gauge field. However, in this paper we demonstrate that when the so-called localized assumption is excluded, the gauge field will ...
A.C. Eringen   +11 more
core   +1 more source

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