Results 1 to 10 of about 1,919 (287)

Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

Nonlinear Analysis, 2021
In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +4 more sources

Nonlocal problems for hyperbolic equations with degenerate integral conditions

Electronic Journal of Differential Equations, 2016
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
doaj   +3 more sources

Solvability of a nonlocal problem for a hyperbolic equation with integral conditions

Electronic Journal of Differential Equations, 2017
We study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions.
Anar T. Assanova
doaj   +4 more sources

On some problems with nonlocal integral condition

Mathematical Modelling and Analysis, 2010
We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
doaj   +3 more sources

On a Coupled System of Random and Stochastic Nonlinear Differential Equations with Coupled Nonlocal Random and Stochastic Nonlinear Integral Conditions

Mathematics, 2021
It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
doaj   +2 more sources

Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition

Lietuvos Matematikos Rinkinys, 2013
This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
doaj   +2 more sources

On the Fučík type problem with integral nonlocal boundary conditions [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2016
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
doaj   +2 more sources

Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition [PDF]

Discrete Dynamics in Nature and Society, 2011
The stable difference schemes for the approximate solution of the nonlocal boundary value problem for multidimensional hyperbolic equations with dependent in space variable coefficients are presented.
Allaberen Ashyralyev, Necmettin Aggez
doaj   +3 more sources

Efficient results on Hilfer pantograph model with nonlocal integral condition

Alexandria Engineering Journal, 2023
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
doaj   +2 more sources

Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

Lietuvos Matematikos Rinkinys, 2021
In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source