Single and multiple recurrence along non-polynomial sequences
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107146
Abstract: Abstract We establish new recurrence and multiple recurrence results for a rather large family F of non-polynomial functions which contains tempered functions and (non-polynomial) functions from a Hardy field with polynomial growth. In particular, we… read more here.
Keywords: non polynomial; recurrence; single multiple; along non ... See more keywords
Geometrically nonlinear flexural analysis of multilayered composite plate using polynomial and non-polynomial shear deformation theories
Sign Up to like & getrecommendations! Published in 2021 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2021.106635
Abstract: Abstract In this paper, the geometrically nonlinear bending analysis of multilayered composite plates is carried out through a rigorous comparative study employing Green-Lagrange and von Karman nonlinearity. The responses are analyzed for various transverse loads… read more here.
Keywords: geometrically nonlinear; analysis multilayered; multilayered composite; polynomial shear ... See more keywords
A new non-polynomial four variable shear deformation theory in axiomatic formulation for hygro-thermo-mechanical analysis of laminated composite plates
Sign Up to like & getrecommendations! Published in 2017 at "Composite Structures"
DOI: 10.1016/j.compstruct.2017.09.029
Abstract: Abstract In the present work, a new non-polynomial shear deformation theory having four variables is developed and assessed for hygro-thermo-mechanical response of laminated composite plates. An inverse hyperbolic function of thickness coordinate is used in… read more here.
Keywords: deformation theory; new non; non polynomial; shear deformation ... See more keywords
A couple stress model in non-polynomial framework to examine structural responses of laminated composite micro-plates: An analytical solution
Sign Up to like & getrecommendations! Published in 2021 at "Composite Structures"
DOI: 10.1016/j.compstruct.2020.113533
Abstract: Abstract In the present article, the couple stress models in the non-polynomial framework are developed and employed to examine the structural response characteristics of composite micro-plates. The length scale effects in the micro-laminates are considered… read more here.
Keywords: micro plates; composite micro; couple stress; micro ... See more keywords
Best non-polynomial shear deformation theories for cross-ply single skin and sandwich shells
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DOI: 10.1016/j.engstruct.2019.109678
Abstract: Abstract This paper presents Best Theory Diagrams (BTDs) constructed from non-polynomial terms to identify best shell theories for bending analysis of cross-ply single skin and sandwich shell panels. This structure presents a constant radii of… read more here.
Keywords: non polynomial; single skin; ply single; skin sandwich ... See more keywords
Geometrically nonlinear free vibration analysis of laminated composite plates: A finite element assessment of a higher order non-polynomial shear deformation theory
Sign Up to like & getrecommendations! Published in 2019 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2018.1553259
Abstract: Abstract In the current work, a higher order non-polynomial theory based upon nonlinear distribution of transverse shear stresses along the plate thickness is employed to apprehend the geometrically nonlinear free vibration of laminated composite plates.… read more here.
Keywords: nonlinear free; non polynomial; geometrically nonlinear; higher order ... See more keywords
Exact polynomial and non-polynomial bound states in a one-dimensional quasi-exactly solvable sl(2) potential
Sign Up to like & getrecommendations! Published in 2025 at "Modern Physics Letters A"
DOI: 10.1142/s021773232550230x
Abstract: This study presents a systematic investigation of one-dimensional quasi-exactly solvable (QES) potentials with [Formula: see text] algebra that preserves finite-dimensional polynomial subspace. We derive analytical solutions expressed through confluent Heun functions (CHFs) and establish a… read more here.
Keywords: polynomial bound; exactly solvable; dimensional quasi; one dimensional ... See more keywords
Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity
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DOI: 10.3390/e23121624
Abstract: We discuss the application of the Simple Equations Method (SEsM) for obtaining exact solutions of non-linear differential equations to several cases of equations containing non-polynomial non-linearity. The main idea of the study is to use… read more here.
Keywords: non linear; polynomial non; simple equations; non linearity ... See more keywords