Uniqueness and monotonicity of solutions for fractional equations with a gradient term
In this paper, we consider the following fractional equation with a gradient term $$(-\Delta)^{s} u(x)= f(x,u (x), \nabla u (x)),$$ in a bounded domain and the upper half space.
Pengyan Wang
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Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using C2 rational cubic spline interpolant (cubic/quadratic ...
Bin Abdul Karim Samsul Ariffin
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Functions operating on several multivariate distribution functions
Functions ff on [0,1]m{\left[0,1]}^{m} such that every composition f∘(g1,…,gm)f\circ \left({g}_{1},\ldots ,{g}_{m}) with dd-dimensional distribution functions g1,…,gm{g}_{1},\ldots ,{g}_{m} is again a distribution function, turn out to be characterized ...
Ressel Paul
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Well Posedness of New Optimization Problems with Variational Inequality Constraints
In this paper, we studied the well posedness for a new class of optimization problems with variational inequality constraints involving second-order partial derivatives.
Savin Treanţă
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Finite difference approximations for a class of non-local parabolic equations
In this paper we study finite difference procedures for a class of parabolic equations with non-local boundary condition. The semi-implicit and fully implicit backward Euler schemes are studied.
Yanping Lin +2 more
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Questions of existence and uniqueness of the solution of one class of an infinite system of nonlinear two-dimensional equations [PDF]
The paper is devoted to the study of one class of infinite systems of nonlinear two-dimensional equations with convex and monotone nonlinearity. The studied class of nonlinear systems of algebraic equations has both theoretical and practical ...
Petrosyan, Haykanush S. +2 more
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On approximating the modified Bessel function of the second kind
In the article, we prove that the double inequalities π e − x 2 ( x + a ) < K 0 ( x ) < π e − x 2 ( x + b ) , 1 + 1 2 ( x + a ) < K 1 ( x ) K 0 ( x ) < 1 + 1 2 ( x + b ) $$ \frac{\sqrt{\pi}e^{-x}}{\sqrt{2(x+a)}}< K_{0}(x)< \frac{\sqrt{\pi }e^{-x}}{\sqrt ...
Zhen-Hang Yang, Yu-Ming Chu
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npbr: A Package for Nonparametric Boundary Regression in R
The package npbr is the first free specialized software for data edge and frontier analysis in the statistical literature. It provides a variety of functions for the best known and most innovative approaches to nonparametric boundary estimation.
Abdelaati Daouia +2 more
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On some classes of nonlinear integral equations with noncompact operators
The work is devoted to the investigation of some classes of nonlinear integral equations of Hammerstein–Nemitski type with noncompact operators. Above mentioned class of equations, beside the theoretical interest has immediately an application in kinetic
Khachatur Aghavardovich Khachatryan
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From Actions to Effects: Three Constraints on Event Mappings
Events can be modeled through a geometric approach, representing event structures in terms of spaces and mappings between spaces. At least two spaces are needed to describe an event, an action space and a result space.
Peter Gärdenfors +4 more
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