Efficient results on Hilfer pantograph model with nonlocal integral condition
The optimistic plan of this work reveals the solvability conditions of Hilfer fractional pantograph integrodifferential equations of type 0≤q2≤1 and order ...
Kottakkaran Sooppy Nisar
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On the Fučík type problem with integral nonlocal boundary conditions [PDF]
The Fučík equation $x''=-\mu x^++\lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=\gamma\int_0^1 x(s)ds$ is considered where $\mu, \lambda, \gamma\in\mathbb{R}$. The Fučík spectrum for this problem is constructed.
Natalija Sergejeva
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Nonlocal problems for hyperbolic equations with degenerate integral conditions
In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
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A NONLOCAL PROBLEM WITH INTEGRAL CONDITION FOR A FOURTH ORDER EQUATION
In this paper we consider initial-boundary problems with integral conditions for certain fourth order equation. Unique solvability of posed problems is proved. The proof is based on apriori estimates, regularization method, auxiliary problems method, embedding theorems.
Виктор Борисович Дмитриев
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A nonlinear fractional Rayleigh–Stokes equation under nonlocal integral conditions [PDF]
AbstractIn this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered. The ill-posedness of the mild solution to the problem recovering the initial value is also investigated.
Nguyen Hoang Luc +3 more
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NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS
In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method. The main aim of this paper is to investigate the conditions under those all eigenvalues of corresponding difference eigenvalue problem are positive.
Kristina Pupalaigė +2 more
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NONLOCAL PROBLEM WITH INTEGRAL CONDITION FOR A FOURTH ORDER EQUATION
In this paper, we consider a nonlocal problem with integral condition with respect to spacial variable for a forth order partial differential equation. The conditions on the data for unique solvability of the problem in Sobolev space are determined. Proving of uniqueness of generalized solution is based on acquired apriori estimates.
Наталья Викторовна Бейлина
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Nonlocal Conduction in a Metawire. [PDF]
A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA +3 more
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Fractional Langevin Equations with Nonlocal Integral Boundary Conditions [PDF]
In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the nonlinear alternative Leray Schauder theorems, the existence and uniqueness results of solutions are proven.
Ahmed Salem +2 more
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Nonlocal boundary value hyperbolic problems involving integral conditions [PDF]
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Ashyralyev, Allaberen, Aggez, Necmettin
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