Results 11 to 20 of about 293,307 (237)

Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations

open access: yesВестник Самарского университета: Естественнонаучная серия
We consider a class of second order elliptic equations in divergence form with non-uniform exponential degeneracy. The method used is based on the fact that the degeneracy rates of the eigenvalues of the matrix ||aij(x)||(function λi(x)) are not the ...
Sarvan T. Huseynov, Mushfig J. Aliyev
doaj   +2 more sources

p()Anisotropic degenerate elliptic equations having natural exponential function

open access: yesMiskolc Mathematical Notes
In this work, we establish existence results for distributional solutions of anisotropic nonlinear elliptic equations with variable growth, L1−p→(x)−W¨1,p→(⋅)(Ω)|u|e|u|
Mokhtar Naceri
doaj   +2 more sources

A note on infinite series whose terms involve truncated degenerate exponentials

open access: yesApplied Mathematics in Science and Engineering, 2023
The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
doaj   +1 more source

A note on degenerate generalized Laguerre polynomials and Lah numbers

open access: yesAdvances in Difference Equations, 2021
The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomials and Lah numbers, including an explicit ...
Taekyun Kim   +4 more
doaj   +1 more source

Persistence of the heteroclinic loop under periodic perturbation

open access: yesElectronic Research Archive, 2023
We consider an autonomous ordinary differential equation that admits a heteroclinic loop. The unperturbed heteroclinic loop consists of two degenerate heteroclinic orbits $ \gamma_1 $ and $ \gamma_2 $.
Bin Long, Shanshan Xu
doaj   +1 more source

On the new type of degenerate poly-Genocchi numbers and polynomials

open access: yesAdvances in Difference Equations, 2020
Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
doaj   +1 more source

Exact and Approximate Pattern Counting in Degenerate Graphs: New Algorithms, Hardness Results, and Complexity Dichotomies [PDF]

open access: yesIEEE Annual Symposium on Foundations of Computer Science, 2021
We study the problems of counting the homomorphisms, the copies, and the induced copies of a $k$-vertex graph $H$ in a $d$-degenerate $n$-vertex graph $G$. By leveraging a new family of graph-minor obstructions called F-gadgets, we establish explicit and
M. Bressan, M. Roth
semanticscholar   +1 more source

On the uniqueness of ΛCDM-like evolution for homogeneous and isotropic cosmology in General Relativity

open access: yesPhysics Letters B, 2023
We address the question of the uniqueness of spatially flat ΛCDM-like evolution for FLRW cosmologies in General Relativity, i.e. whether any model other than the spatially flat ΛCDM can give rise to the same type of scale factor evolution.
Saikat Chakraborty   +2 more
doaj   +1 more source

Nonlocal Probability Theory: General Fractional Calculus Approach

open access: yesMathematics, 2022
Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
doaj   +1 more source

On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind

open access: yesJournal of Mathematics, 2020
In a study, Carlitz introduced the degenerate exponential function and applied that function to Bernoulli and Eulerian numbers and degenerate special functions have been studied by many researchers.
Sang Jo Yun, Jin-Woo Park
doaj   +1 more source

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