Results 31 to 40 of about 4,997 (268)

Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements [PDF]

E-Journal of Analysis and Applied Mathematics, 2019
Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved.
Dovlet M. Dovletov
doaj   +1 more source

Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2011
The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė, Artūras Štikonas   +1 more
doaj   +1 more source

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

Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition

Nonlinear Analysis, 2010
In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė, K. Skučaitė-Bingelė, S. Pečiulytė, A. Štikonas   +3 more
doaj   +1 more source

Nonlocal effect on boundary conditions of cantilever nanobeam

AIP Conference Proceedings, 2020
Free vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory. Nonlocal effect on boundary conditions have been taken into account. Variational energy formulation of nanobeam has been carried out for obtaining the nonlocal governing equation of motion and boundary conditions.
Arda, Mustafa, Aydogdu, Metin
openaire   +1 more source

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

On Nonlinear Coupled System with Nonlocal Boundary Conditions

Boletim da Sociedade Paranaense de Matemática, 2003
Summary: We discuss the existence, uniqueness and stability exponential and polynomial of global solutions for a nonlinear coupled system with nonlocal boundary conditions given by \[ \begin{aligned} u_{tt}+\Delta^2u+f(u-v) & =0\text{ in }\Omega\times (0,\infty),\\ v_{tt}-\Delta v-f(u-v)& =0\text{ in }\Omega\times(0,\infty),\\ u=0 \text{ on }\Gamma_0 ...
U. R. Soares, C. A. Raposo, M. L. Santos
openaire   +4 more sources

Nonlocal diffusion equations with dynamical boundary conditions [PDF]

Nonlinear Analysis, 2020
In this paper we study nonlocal problems that are analogous to the local ones given by the Laplacian or the p-Laplacian with dynamical boundary conditions. We deal both with smooth and with singular kernels and show existence and uniqueness of solutions and study their asymptotic behaviour as t goes to infinity.
Pablo M. Berná, Julio D. Rossi
openaire   +2 more sources

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source

Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions

AIMS Mathematics
Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions.
Murugesan Manigandan , Kannan Manikandan, Hasanen A. Hammad , Manuel De la Sen   +3 more
doaj   +1 more source