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Approach to design of robust control systems by structurally stable functions from catastrophe theory
Catastrophes Control Stabilization
2010/9/14
An approach to stabilization of control systems with wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe ...
Generalized convexity and invexity in optimization theory: Some new results
Generalized convexity and invexity optimization theory
2010/9/15
Convex like properties, without vector space structure are intensively used in the minimax theory Since Ky Fan has proved the first minimax theorem for concave-convexlike functions, several authors ha...
Ruin theory under a generalized jump-diffusion model with regime switching
Ruin probability Perturbed risk model Completely random measure process
2010/9/13
We investigate the ruin probability when the surplus process is governed by a generalized perturbed risk model with a Markov-switching compensator. We suppose that the jump component of the perturbed ...
The paper presents the mathematical theory of some credi-
bility models, involving complicated properties of conditional expectations
and of conditional covariances. The fact that it is based on c...
We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...
Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory
Convex functions Jensen's Inequality Entropy Mappings
2008/7/1
Some new inequalities which counterpart Jensen's discrete inequality and improve the recent results from [20] and [22] are given. A related result for generalized means is established. Applications in...
Geometric Convexity of a Function Involving Gamma Function and Applications to Inequality Theory
Gamma function Geometrically Convex function Wallis' inequality Application Inequality
2008/7/1
In this paper, the geometric convexity of a function involving gamma function is studied, as applications to inequality theory, some important inequalities which improve some known inequalities, inclu...
On Some Applications of the AG Inequality in Information Theory
Arithmetic-Geometric Mean Kullback-Leibler Distances Shannon's Entropy
2008/6/27
Recently, S.S. Dragomir used the concavity property of the log mapping and the weighted arithmetic mean-geometric mean inequality to develop new inequalities that were then applied to Information Theo...
Some Results on the Complex Oscillation Theory of Differential Equations with Polynomial Coefficients
Differential equations Order of growth Exponent of convergence of distinct zeros Wiman-Valiron theory
2008/6/26
Some Results on the Complex Oscillation Theory of Differential Equations with Polynomial Coefficients.
New alternative to formulate utility functions in consumer theory
Consumer theory Utility function Projection Theorem
2010/9/10
In this paper, we propose a mathematical approach leading systematically to a key result of the consumer theory: the representation of utility function.
Large sharpening intertemporal prospect theory
Discount utility theory intertemporal choice prospect theory
2010/9/15
Prospect theory [4] of risky choices has been extended to encompass intertemporal choices [6]. Presentation of intertemporal prospect theory suffers from minor mistakes, however [2]. To clarify the th...
Factor demand modelling: the theory and the practice
factor demand flexible functional forms error correction model
2010/9/15
Since the work of Cobb and Douglas [18], two main innovations have been introduced in applied factor demand analysis, i.e. the use of flexible functional forms and the modelling of dynamics, expectati...
A 2D adaptive Volterra quadratic algorithm based on the Lyapunov stability theory
quadratic algorithm the Lyapunov stability theory
2010/9/15
In this paper, we develop a 2D adaptive nonlinear algorithm based on a second order Volterra filter with linear part. We theoretically show that the proposed algorithm is numerically stable with respe...
General mathematical frame for open or closed biomembranes: Stability theory based on differential operators
biomembranes stability theory stably permissible condition
2010/9/15
Based on a few differential operators and their integral theorems on curved surfaces, the second variations of the general potential functional and various geometric quantities defined on biomembranes...
An application of stochastic optimization theory to institutional finance
Depository Financial Institutions Stochastic Modeling
2010/9/15
A current problem in institutional finance is to devise a means of computing the maximum profit that can be made by a depository financial institution (DFI). Such institutions are characterized by the...