Results 11 to 20 of about 293,307 (237)
Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations
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
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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
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A note on infinite series whose terms involve truncated degenerate exponentials
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
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A note on degenerate generalized Laguerre polynomials and Lah numbers
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
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Persistence of the heteroclinic loop under periodic perturbation
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
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On the new type of degenerate poly-Genocchi numbers and polynomials
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
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Exact and Approximate Pattern Counting in Degenerate Graphs: New Algorithms, Hardness Results, and Complexity Dichotomies [PDF]
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
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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
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Nonlocal Probability Theory: General Fractional Calculus Approach
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
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On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
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
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