Results 1 to 10 of about 3,535 (248)

On a Nonlocal Boundary Value Problem at Resonance [PDF]

Journal of Mathematical Analysis and Applications, 2001
Let \(E\) be the interval \([0,1]\) of \(\mathbb{R}\) and let \(N:C^1(E,\mathbb{R}) \rightarrow L^1(E,\mathbb{R})\) be a continuous operator. The authors study the existence of solutions to the initial value problem \[ Lx(t)=x''(t)=Nx(t), \text{ a.a.t.
P Ch Tsamatos
exaly   +6 more sources

On nonlinear spectra for some nonlocal boundary value problems [PDF]

Mathematical Modelling and Analysis, 2008
We consider a second order nonlinear differential equation with nonlocal (integral) condition. The spectrum of it differs essentially from the known ones.
Natalija Sergejeva
doaj   +4 more sources

On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition [PDF]

E-Journal of Analysis and Applied Mathematics, 2023
The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
doaj   +1 more source

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   +1 more source

Nonlocal boundary value problems [PDF]

Boundary Value Problems, 2012
In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the
Franco D, INFANTE, GENNARO, Minhos FM
openaire   +3 more sources

A remark on elliptic differential equations on manifold

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet.
A. Ashyralyev, Y. Sozen, F. Hezenci
doaj   +1 more source

Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Mathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

Nonlocal Boundary-Value Problems with Local Boundary Conditions

, 2023
We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
openaire   +2 more sources

On a boundary value problem for mixed type equation with nonlocal initial conditions in the rectangle

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
Svetlana V Kirichenko
doaj   +3 more sources

Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations

Fractal and Fractional, 2022
A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source