in the present paper, measure differential equations involving the distributional henstock-kurzweil integral are investigated. theorems on the existence and structure of the set of solutions are established by using schauder$^prime s$ fixed point theorem and vidossich theorem. two examples of the main results paper are presented. the new results are generalizations of some previous results in t...

in this research prediction methods of artificial neural network and chaos theory are employed to predict daily, weekly and monthly runoff. for this, runoff series data observed at pole-kohneh located in the qareh-soo river. the nonlinear predictions of chaos are found to be in close agreement with the observed runoff, with high correlation coefficient for daily and weekly time scales. predicte...

Computationally efficient approaches are presented that quantify the influence of parameter uncertainties upon the states and outputs of finite-time control trajectories for nonlinear systems. In the first approach, the worst-case values of the states and outputs due to model parameter uncertainties are computed as a function of time along the control trajectories. The approach uses an efficien...

The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.

Chaos is a nonlinear behavior that shows chaotic and irregular responses to internal and external stimuli in dynamic systems. This behavior usually appears in systems that are highly sensitive to initial condition. In these systems, stabilization is a highly considerable tool for eliminating aberrant behaviors. In this paper, the problem of stabilization and tracking the chaos are investigated....

A function which transforms a continuous random variable such that it has specified distribution is called replicating function. We suppose functions may be assigned price, and study an optimization problem in the cheapest approximation to sought. Under suitable regularity conditions, including bound on entropy of set candidate approximations, we show optimal comes close achieving distributiona...

today we are facing with a turbulent world full of complexity and change. contemporary problems are too complicated for rational, logical solutions. they admit insights, not answers. chaos theory is a solution to reveal insights into the structure and the dynamics of complex systems. chaos theory is in formative stage, but we can use it in management practices. this article is about application...

analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. this paper compares the performance of chaos theory with anfis model and discusses ...