On the singularities of Taylor series with reciprocal coefficients

Solving the liner quadratic differential equations with constant coefficients using Taylor series with step size h

In this study we produced a new method for solving regular differential equations with step size h and Taylor series. This method analyzes a regular differential equation with initial values and step size h. this types of equations include quadratic and cubic homogenous equations with constant coeffcients and cubic and second-level equations.

On the Taylor Coefficients of Rational Functions

azerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran

در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...

Solving Differential-algebraic Equations by Taylor Series (i): Computing Taylor Coefficients

This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value problems by Taylor series expansion. First, building on the second author’s structural analysis of DAEs (BIT 41 (2001) 364–394), it describes and justifies the method used in DAETS to compute Taylor coefficients (TCs) using automatic differentiation. The DAE may be fully implicit, nonlinear, and con...

On the Reciprocal Difference Equation with Maximum and Periodic Coefficients

We study the nonlinear difference equation xn = max { An xn−1 , Bn xn−2k−1 } , n ∈ N0, where k is any fixed positive integer and the coefficients An,Bn are positive and periodic with the same period 2. The special case when k = 1 has been investigated earlier by Mishev, Patula and Voulov. Here we extend their results to the general case. AMS subject classification: 39A10.