Results 1 to 10 of about 674,137 (288)

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

open access: yesNonlinear 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

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

Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions

open access: yesAIMS Mathematics, 2022
The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied.
Ahmed M.A. El-Sayed   +2 more
doaj   +1 more source

Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions [PDF]

open access: yes, 2020
Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model.
Izsák, Ferenc, Maros, Gábor
core   +2 more sources

Characterization of the Mean First-Passage Time Function Subject to Advection in Annular-like Domains

open access: yesMathematics, 2023
Cell migration in a biological medium towards a blood vessel is modeled, as a random process, sucessively inside an annulus (two-dimensional domain) and an annular cylinder (three-dimensional domain).
Hélia Serrano   +1 more
doaj   +1 more source

An optimal control problem for the systems with integral boundary conditions [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to one class ...
M.J. Mardanov, Y.A. Sharifov
doaj   +2 more sources

Boosting the Maxwell double layer potential using a right spin factor [PDF]

open access: yes, 2018
We construct new spin singular integral equations for solving scattering problems for Maxwell's equations, both against perfect conductors and in media with piecewise constant permittivity, permeability and conductivity, improving and extending earlier ...
Rosén, Andreas
core   +2 more sources

On solvability of nonlinear boundary value problems with integral condition for the system of hyperbolic equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
doaj   +1 more source

An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems [PDF]

open access: yes, 1995
In the context of analyzing a new model for nonlinear diffusion in polymers, an unusual condition appears at the moving interface between the glassy and rubbery phases of the polymer.
Cohen, D. S., Edwards, D. A.
core   +1 more source

Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor

open access: yesNonlinear Analysis, 2017
We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas   +3 more
doaj   +1 more source

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