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Article
Quasi-periodic Solutions for Completely Resonant Quintic Beam Equations
This paper concerns the existence of quasi-periodic solutions for completely resonant quintic beam equations on one-dimensional tori. A novel Birkhoff normal form is developed to reformulate the problem into a...
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Article
Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing
We consider a model of nonlinear wave equations with periodically varying wave speed and periodic external forcing. By imposing non-resonance conditions on the frequency, we establish the existence of response...
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Article
Electromagnetic field enhancement in a subwavelength rectangular open cavity
Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The e...
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Article
The Well-Posedness of Fractional Systems with Affine-Periodic Boundary Conditions
This paper is devoted to study the existence and uniqueness of solutions for a class of nonlinear fractional dynamical systems with affine-periodic boundary conditions. We can show that there exists a solution...
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Article
Time-Domain Analysis of an Acoustic–Elastic Interaction Problem
Consider the scattering of a time-domain acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous air or fluid. This paper concerns the mathematical analysis of such a time-domain a...
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Article
Open AccessBiosynthesis of Gold Nanoparticles by Foliar Broths: Roles of Biocompounds and Other Attributes of the Extracts
Biosynthesis of nanoparticles has arisen as a promising alternative to conventional synthetic methodologies owing to its eco-friendly advantages, and the involved bioprotocol still needs further clarification....
