Results 11 to 20 of about 29,395 (317)
Monotonicity of solutions for fractional p-equations with a gradient term
Open Mathematics, 2022 In this paper, we consider the following fractional pp-equation with a gradient term: (−Δ)psu(x)=f(x,u(x),∇u(x)).{\left(-\Delta )}_{p}^{s}u\left(x)=f\left(x,u\left(x),\nabla u\left(x)). We first prove the uniqueness and monotonicity of positive solutions
Wang Pengyan
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Milnor’s Conjecture on Monotonicity of Topological Entropy: results and questions [PDF]
, 2014 02.08.13 KB. Author has recieved permission from publisher to add the submitted version to Spiral.This note discusses Milnor’s conjecture on monotonicity of entropy and gives a short exposition of the ideas used in its proof which was obtained in joint ...
van Strien, S, Sebastian van Strien
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Generalized Nonlinear Variational Inclusions Involving (A,η)-Monotone Mappings in Hilbert Spaces
Fixed Point Theory and Applications, 2008 A new class of generalized nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with (A,η)-monotonicity, the ...
Yongfu Su +3 more
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Journal of Inequalities and Applications, 2016 In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function
Zhen-Hang Yang, Yu-Ming Chu
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New properties for the Ramanujan R-function
Open Mathematics, 2022 In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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The Annals of Statistics, 1977 Random variables $X$ and $Y$ are mutually completely dependent if there exists a one-to-one function $g$ for which $P\lbrack Y = g(X)\rbrack = 1.$ An example is presented of a pair of random variables which are mutually completely dependent, but "almost" independent.
Kimeldorf, George, Sampson, Allan R.
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Schur-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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Stochastic monotonicity and duality for one-dimensional Markov processes [PDF]
, 2011 The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [11]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators
Mathematics, 2022 In this paper, first, we intend to determine the relationship between the sign of Δc0βy(c0+1), for 10 (the monotonicity of y), where Δc0βy(z) will be assumed to be negative for each z∈Nc0T:={c0,c0+1,c0+2,⋯,T} and some T∈Nc0:={c0,c0+1,c0+2,⋯}.
Kamsing Nonlaopon +5 more
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A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings
Abstract and Applied Analysis, 2013 Invex monotonicity and pseudoinvex monotonicity of fuzzy mappings are introduced in this paper, and relations are discussed between invex monotonicity (pseudoinvex monotonicity) and invexity (pseudoinvexity) of fuzzy mappings. The existence of a solution
Zezhong Wu, Jiuping Xu
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