[PDF] Top 20 Growth of the solutions of some q difference differential equations

... meromorphic solutions of complex functional equations (see ...on q-difference ...the growth of meromorphic solutions of q-difference equations and obtained results which ... See full document

... In this paper, the problem of the existence and growth of solutions of complex differ- ence equations will be studied. The fundamental results and the standard notations of the Nevanlinna value ... See full document

... the growth of meromorphic solutions of some linear difference ...obtain some new results on the growth of meromorphic solutions when most coefficients in such equations are ... See full document

... many results on the growth and the exponent of convergence of the sequence of zeros of meromorphic solutions of (.). For instance, in [–], the authors considered the case when there is exactly only one ... See full document

... Theorem A states that when σQ 1, 1.3 may have finite-order solutions. We go deep into the problem: what condition in Qz when σQ 1 will guarantee every solution f / ≡ 0 of 1.3 has infinite order? And more precise ... See full document

... meromorphic solutions of certain types of q-difference differential equations, obtain estimates of the growth order of their meromorphic solutions, and give a number of examples to show ... See full document

... the growth of tran- scendental meromorphic solutions of complex q-difference equations ...differential- q-difference equations) instead of complex difference equation ...involved ... See full document

... 9. Liu, K., Liu, X., Cao, T.B. : Value distribution of the difference opera- tor, Advances in Difference equations, Vol.2011, Art ID 234215,12 pages. 10. Yang, C.C., Hua, X.H.: Uniqueness and value ... See full document

... , some results on growth of solutions of a complex difference equation are listed, and our theorems are ...gives some examples to show the accuracy of conclusions of Theorem ... See full document

... the growth of meromorphic solutions of some linear difference ...obtain some results on the growth of meromorphic solutions when most coefficients in such equations have the ... See full document

... with q-exponential growth on the unbounded sector U with respect to the first variable and exponential decay on R with respect to the second ...with q-exponential growth on an infinite sector ... See full document

... As a first attempt one is tempted to study an auxiliary problem in the Borel plane directly, following the classical method of summability of formal solutions of different types of equations. In this ... See full document

... of growth of mero- morphic solutions of (.), from which a q-difference analogue of the classical Malmquist theorem [] is given: if the q-difference equation ...a q-difference Riccati ... See full document

... and growth of meromorphic solutions of differ- ence equations have been investigated in many papers ...the q-difference analog of Nevanlinna theory, there has been a renewed interest in studying ... See full document

... differential equations in the complex plane C, it is always an interesting and quite difficult problem to prove the existence or uniqueness of the entire or meromorphic solution of a given ...or growth of ... See full document

... investigate solutions of higher-order complex q-difference ...of growth and value distribution of meromorphic solutions of differential ...linear q-difference equations, Barnett et ... See full document

... differential equations and inclusions which are valuable tools in the modeling of many phenomena in various fields of science ...of solutions for the fractional q-difference equations c D ... See full document

... The q-difference calculus or quantum calculus is an old subject, which is rich in history and in ...of solutions for different kinds of q-difference equations; see, for example, [3–5, 9, 10, 13, ... See full document

... rational difference equations of a higher order is quite challenging and rewarding, and the results about these equations offer prototypes towards the development of the basic theory of the global ... See full document

... In this paper, we consider the construction of solution for fuzzy IVPs with respect to (1)- differentiability via HAM. The (2)- differentiability case is similar to this one. For the fuzzy case the Homotopy method is ... See full document