Results 81 to 90 of about 1,327 (253)

Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions

open access: yesInternational Journal of Differential Equations, 2015
We study boundary value problems for q-difference equations and inclusions with nonlocal and integral boundary conditions which have different quantum numbers. Some new existence and uniqueness results are obtained by using fixed point theorems. Examples
Sotiris K. Ntouyas, Jessada Tariboon
doaj   +1 more source

INVERSE PROBLEM WITH INTEGRAL IN TIME OVERDETERMINATION AND NONLOCAL BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION

open access: yesVestnik of Samara University. Natural Science Series, 2016
In this article, we consider a question of sovability of an inverse problem for a linear hyprbolic equation. Properties of the solution of an associated nonlocal initial-boundary problem with displacement in boundary conditions are used to develop an existence result for the identification of the unknown source.
openaire   +2 more sources

Efficient and Tunable Narrowband Second‐Harmonic Generation by a Large‐Area Etchless Lithium Niobate Metasurface

open access: yesLaser &Photonics Reviews, EarlyView.
An etchless lithium niobate (LN) metasurface with a slanted periodic TiO2 grating enables efficient and narrowband second‐harmonic generation (SHG) thanks to the light confinement in the LN film granted by quasi‐bound‐state‐in‐the‐continuum (q‐BIC) modes.
Yaping Hou   +10 more
wiley   +1 more source

From Planar to 3D Nanophotonic Lenses: Advancing Design, Fabrication, and Applications

open access: yesLaser &Photonics Reviews, EarlyView.
Three‐dimensional nanophotonic lenses are enabled by an integrated workflow that links design parameterization, full‐wave electromagnetic simulation, computational optimization, and freeform fabrication. This Review summarizes how these tools expand optical design freedom beyond a single patterned plane by enriching the local meta‐atom response and ...
Wei Zhu   +2 more
wiley   +1 more source

A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional q-difference equations with nonlocal integral boundary conditions.
Ahmed Alsaedi   +2 more
doaj   +1 more source

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

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

Nonlocal active sound control for composite regions

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
wiley   +1 more source

New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions

open access: yesAdvances in Difference Equations, 2011
This paper studies a boundary value problem of nonlinear fractional differential equations of order with three-point integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems and Leray ...
Ntouyas SotirisK   +2 more
doaj  

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

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