[PDF] Top 20 On the meromorphic solutions of certain class of nonlinear differential equations

... Remark . From the proof of Theorem ., we see that the restriction in Theorem . to p, q, and R may extend to small functions.. In fact, it is easy to find that the conclusion is vali[r] ... See full document

... transcendental meromorphic function f of infinite order, we define its proximate order and type function as the proximate order and type function of T (r, f ...all meromorphic functions f in the complex plane ... 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 ... See full document

... We give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear di ff erential equations using Lyapunov’s second method. A com- ... See full document

... of solutions (or positive solutions) of nonlinear initial (or boundary) fractional differential equation (or system) by the use of techniques of nonlinear analysis (fixed point theorems, ... See full document

... of solutions for a class of boundary value problem of the nonlinear variable coefficient of fractional differential ...of solutions involving Captuo fractional derivatives is discussed ... See full document

... of solutions for a class of nonlinear integro-differential equations of mixed type on unbounded domains in Banach spaces are established under more general ... See full document

... finding solutions of A-Equation. In this work, we present a large class of exact solutions to A-Eq- uation and reveal the connection to a class of arbitrarily large systems of non- linear ... See full document

... This paper is mainly concerned with the stability and boundedness of solutions of (1.1). For the special case in which (1.1) is a scalar equation (so that n = 1) with zero delay, a number of boundedness, stability ... See full document

... The construction of this paper is displayed as follows. In Section , we recall some basic definitions and notations and several useful lemmas. Section  contains the existence and uniqueness of solution for ... See full document

... can be used for deriving a new solution with a different value of the parameter, either for the same Painlevé equation or for another. Symmetry is a word used frequently to refer to a mechanism of constructing new ... See full document

... as Differential Transform Method (DTM) for solving second order linear ordinary differential equa- tions, for both homogeneous and nonhomogeneous ...exact solutions of the solved ... See full document

... of solutions for initial value problem for a class of nonlinear Caputo-Hadamard fractional differential equations with nonlocal ... See full document

... of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach’s contrac- ... See full document

... particular, differential equations with impulsive conditions constitute an im- portant field of research due to their numerous applications in ecology, medicine biology, electrical engineering and other ... See full document

... of solutions of nonlinear systems are important area of current research and many concept of stability and boundedness of solutions have in the past been studied by several ...of solutions of ... See full document

... differential equations, most of the authors investigated only the existence of solutions or positive solutions for Hadamard fractional differential equations without considering the influence of ... See full document

... of meromorphic solutions of some algebraic differential ...all meromorphic solutions of certain algebraic differential equations with constant coefficients and dominant ...exact ... See full document

... In this paper, we shall assume that the reader is familiar with the fundamental results and the standard notations of the Nevanlinna value distribution theory of meromorphic functions (see [13] , [20]). In ... See full document

... of solutions arising from certain system of third-order nonlinear differen- tial equations are ...of solutions corresponding to extreme stability of solutions when P ≠ 0 relates ... See full document