Results 1 to 10 of about 675,504 (282)

Integrable Boundary Conditions for Quad Equations, Open Boundary Reductions, and Integrable Mappings [PDF]

International Mathematics Research Notices, 2021
Abstract In the context of integrable difference equations on quad-graphs, we introduce the method of open boundary reductions, as an alternative to the well-known periodic reductions, for constructing discrete integrable mappings and their invariants. The mappings are obtained from well-posed initial value problems for quad and boundary
Caudrelier, V, van der Kamp, PH, Zhang, C   +2 more
openaire   +4 more sources

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

Integrable impurities as boundary conditions [PDF]

EPL (Europhysics Letters), 2011
6 ...
Moliner, M., Schmitteckert, P.
openaire   +3 more sources

On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation

Mathematics, 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, Eman Hamdallah, Hanaa Ebead   +2 more
doaj   +1 more source

Quantum integrability of certain boundary conditions [PDF]

Physics Letters B, 1999
11 pages, Latex file, minor changes, one reference ...
Moriconi, M., De Martino, A.
openaire   +4 more sources

Study Boundary Problem with Integral condition for Fractional Differential Equations [PDF]

مجلة التربية والعلم, 2020
In last many years ago there was a great interest in studying the existence of positive solutions for fractional differential equations. Many authors have considered the existence of positive solutions of non-linear differential equations of non-integer ...
Nawal Abdulkader, Nadia Adnan
doaj   +1 more source

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

, 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

Second-Order Boundary Value Problem with Integral Boundary Conditions [PDF]

Boundary Value Problems, 2011
يتم استخدام البديل غير الخطي لنوع ليراي شودر ومبدأ انكماش بنك للتحقيق في وجود حلول للمعادلات التفاضلية من الدرجة الثانية مع ظروف حدود متكاملة. كما يتم التحقيق في إحكام مجموعة المحاليل.
Mouffak Benchohra, Juan J. Nieto, Abdelghani Ouahab   +2 more
openaire   +4 more sources

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

Mathematics, 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, Ramón F. Álvarez-Estrada   +1 more
doaj   +1 more source

Boundary conditions for integrable equations [PDF]

Journal of Physics A: Mathematical and General, 1997
Summary: The problem of constructing boundary conditions for nonlinear equations compatible with higher symmetries is considered. In particular, this problem is discussed for the sine-Gordon, Jiber-Shabat, Liouville and KdV equations. New results are obtained for the last two ones.
Adler V., Gürel, B., Gürses, M., Habibullin I.   +3 more
openaire   +3 more sources