Results 11 to 20 of about 3,603,035 (255)

Stability of Quartic Functional Equations in the Spaces of Generalized Functions [PDF]

Advances in Difference Equations, 2009
We consider the general solution of quartic functional equations and prove the Hyers-Ulam-Rassias stability. Moreover, using the pullbacks and the heat kernels we reformulate and prove the stability results of quartic functional equations in the spaces ...
Chung Soon-Yeong, Lee Young-Su
doaj   +6 more sources

Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application [PDF]

Journal of Function Spaces, 2021
In this article, we introduce the multi-additive-quartic and the multimixed additive-quartic mappings. We also describe and characterize the structure of such mappings. In other words, we unify the system of functional equations defining a multi-additive-
Abasalt Bodaghi, Idham Arif Alias, Lida Mousavi, Sedigheh Hosseini   +3 more
doaj   +2 more sources

Quartic Thue equations [PDF]

Journal of Number Theory, 2010
The two main results of this paper are the following: Theorem 1. Let \(F(x,y)\) be an irreducible quartic binary form with integral coefficients. The Diophantine equation \(|F(x,y)|=1\) has at most 61 integral solutions in \(x\) and \(y\) (with \((x,y)\) and \((-x,-y)\) regarded as the same) provided that the discriminant of \(F\) is greater than \(D_0\
Akhtari, S., Okazaki, R.
openaire   +4 more sources

Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations [PDF]

Journal of the European Mathematical Society (Print), 2015
We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition.
J. Bruedern, T. Wooley
semanticscholar   +7 more sources

Intersect a quartic to extract its roots [PDF]

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017
In this note we present a new method for determining the roots of a quartic polynomial, wherein the given quartic polynomial is intersected by a quadratic polynomial (which has two unknown coefficients) at its root point; so the root satisfies both the ...
Raghavendra G. Kulkarni
doaj   +2 more sources

Quartic B-Spline Method for Non-Linear Second Order Singularly Perturbed Delay Differential Equations [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This paper introduces a novel computational approach utilizing the quartic B-spline method on a uniform mesh for the numerical solution of non-linear singularly perturbed delay differential equations (NSP-DDE) of second-order with a small negative shift.
Shilpa Malge, Ram Kishun Lodhi
doaj   +3 more sources

Blobbed Topological Recursion of the Quartic Kontsevich Model I: Loop Equations and Conjectures [PDF]

Communications in Mathematical Physics, 2020
We provide strong evidence for the conjecture that the analogue of Kontsevich’s matrix Airy function, with the cubic potential Tr(Φ3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
J. Branahl, Alexander Hock, R. Wulkenhaar   +2 more
semanticscholar   +4 more sources

Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings [PDF]

Mathematics
In this work, we define the multi-radical quadratic and multi-radical quartic mappings as two systems of radical functional equations and then represent them as two equations.
Ghaziyah Alsahli, Abasalt Bodaghi
doaj   +2 more sources

Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces [PDF]

Mathematics, 2023
In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method).
Kandhasamy Tamilvanan, Ali H. Alkhaldi, Jyotsana Jakhar, Renu Chugh, Jagjeet Jakhar, John Michael Rassias   +5 more
doaj   +2 more sources

Classical Chaos in a Driven One-Dimensional Quartic Anharmonic Oscillator [PDF]

Computation
In this work, we investigate the transition from regular dynamics to chaotic behavior in a one-dimensional quartic anharmonic classical oscillator driven by a time-dependent external square-wave force.
Yun-Hsi Lin, Jeng-Da Chai
doaj   +2 more sources