Results 121 to 130 of about 3,535 (248)

Ground state solution of a nonlocal boundary-value problem

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we apply the Nehari manifold method to study the Kirchhoff type equation $$ -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) $$ subject to Dirichlet boundary conditions.
Cyril Joel Batkam
doaj  

The Debt‐Equity Spread

open access: yesThe Journal of Finance, Volume 81, Issue 4, Page 2005-2062, August 2026.
ABSTRACT We propose a measure of the valuation gap between debt and equity—debt‐equity spread (DES)—based on the difference between actual and equity‐implied credit spreads. DES predicts cross‐sectional stock and bond returns in opposite directions.
HUI CHEN, ZHIYAO CHEN, JUN LI
wiley   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh   +2 more
wiley   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang   +2 more
wiley   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei   +5 more
wiley   +1 more source

On Existence of Solution of a Nonlocal Boundary Value Problem for Heat Transfer Equation [PDF]

open access: yes, 2009
In this work, it is considered non-homegenous heat equation with nonlocal boundary conditions. Non-local boundary conditions are reduced to pointwise non classical boundary value problem.
Mamedov, Khamlar
core  

A high order of accuracy of difference schemes for the nonlocal boundary value schrödinger problem [PDF]

open access: yes
In this study, nonlocal boundary value Schrödinger type problem in a Hilbert space with the self-adjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes for the numerical solution of ...
Ashyralyev A., Sirma A.
core   +1 more source

Third Harmonic Generation in Transparent Longitudinal Epsilon‐Near‐Zero Multilayers

open access: yesNanophotonics, Volume 15, Issue 14, 27 July 2026.
Transparent longitudinal epsilon‐near‐zero stacks enable field‐enhanced nonlinear light generation while preserving high near‐infrared pump transmission. Broadband third‐harmonic generation is experimentally observed demonstrating that TLENZ architectures can mitigate pump‐loss limitations and offer a promising platform for transparent nonlinear ...
Wallace Jaffray   +7 more
wiley   +1 more source

Nonlocal boundary-value problem for parabolic equations with variable coefficients [PDF]

open access: yes, 1995
Досліджується задача з нелокальними умовами за часовою координатою для параболічних за Петровським рівнянь довільного порядку зі змінними коефіцієніами. Встановлюються умови існування та єдиності класичного розв’язку задачі.
Пташник, Б.Й.   +1 more
core   +2 more sources

Overcoming Computational Bottlenecks in Quantum Hydrodynamics: A Volume‐Based Integral Formalism for Spherical Nanoparticles

open access: yesNanophotonics, Volume 15, Issue 13, 13 July 2026.
Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis   +4 more
wiley   +1 more source

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