Results 21 to 30 of about 27,885 (268)

On the Conditioning of Multipoint and Integral Boundary Value Problems [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 1989
Linear multipoint boundary value problems are investigated from the point of view of the condition number and properties of the fundamental solution. It is found that when the condition number is not large, the solution space is polychotomic. On the other hand, if the solution space is polychotomic then there exist boundary conditions such that the ...
Hoog, de, F.R., Mattheij, R.M.M.
openaire   +1 more source

Integrable boundary conditions and modified Lax equations [PDF]

open access: yesNuclear Physics B, 2008
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable ...
Avan, Jean, Doikou, Anastasia
openaire   +3 more sources

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

open access: yesLietuvos 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   +1 more source

Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions [PDF]

open access: yesJournal of Applied Mathematics, 2013
We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the formx(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)),t∈[0,1],x(0)=x′(1)=0,x′′(0)=∫01h(s,x(s),x′(s),x′′(s))ds,x′′′(1)=0, wheref∈C([0,1]×ℝ4),h∈C([0,1]×ℝ3). By using a fixed point theorem due to D. O'Regan, the
Hui Li, Libo Wang, Minghe Pei
openaire   +4 more sources

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

Well-posedness of boundary value problems for reverse parabolic equation with integral condition [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2018
Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation ...
Charyyar Ashyralyyev
doaj   +1 more source

Investigation of the Sturm–Liouville problems with integral boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2011
This paper presents some new results on the spectrum of a complex plane for the second order Finite-Difference Scheme with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
doaj   +1 more source

Maximum Principle in the Optimal Control Problems for Systems with Integral Boundary Conditions and Its Extension

open access: yesAbstract and Applied Analysis, 2013
The optimal control problem with integral boundary condition is considered. The sufficient condition is established for existence and uniqueness of the solution for a class of integral boundary value problems for fixed admissible controls.
A. R. Safari   +2 more
doaj   +1 more source

Existence of positive solutions of boundary value problem with integral boundary condition at resonance

open access: yesJournal of Hebei University of Science and Technology, 2015
In view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral ...
Weihua JIANG, Caixia YANG
doaj   +1 more source

Classical solution for initial–boundary value problem for wave equation with integral boundary condition

open access: yesMathematical Modelling and Analysis, 2012
The unique existence of classical solution of initial–boundary value problem for wave equation with a special integral boundary condition is proved in the work. Classical solution of the problem in analytical form is also found in the article.
Victor Korzyuk   +2 more
doaj   +1 more source

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