[PDF] Top 20 Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
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Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... 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
14
Random non autonomous second order linear differential equations: mean square analytic solutions and their statistical properties
... differential equations have been randomized and rigorously studied in [3, 4, 7, 8, 10], ...differential equations it is well known that they admit polynomial solutions, in those contributions the ... See full document
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On the hyper order of solutions of two class of complex linear differential equations
... of solutions of two class of complex linear differential ...of solutions of higher order and certain second order linear differential equations, and we obtain ... See full document
12
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications
... for linear second-order PDEs of elliptic or parabolic types, which has been generalized to the systems of semi-linear second-order PDEs by Peng [14], Pardoux and Tang [13], see ... See full document
14
Meromorphic solutions to certain class of differential equations in an angular domain
... For the sake of simplicity, we use the Landau symbols O( · · · ) and o( · · · ) as r → ∞ , where and in what follows, Q(r, f ) is such a quantity that if the order ρ(f ) < ∞ , then Q(r, f ) = O(1), as r → ∞ ; ... See full document
11
Multiple solutions for a class of perturbed second-order differential equations with impulses
... weak solutions for perturbed impulsive problems containing a Lipschitz nonlinear ...weak solutions. According to the results, these solutions are generated by impulses when the Lipschitz nonlinear ... See full document
16
Limit Properties of Solutions of Singular Second-Order Differential Equations
... existence and/or uniqueness results for solutions of periodic boundary value problems are shown. Copyright q 2009 Irena Rach ˚unkov´a et al. This is an open access article distributed under the Creative Commons ... See full document
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Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations
... Gundersen and Yang [] proved the following well-known result which can guarantee that every solution of non-homogeneous linear differential equations has infinite order. Theorem A Let P be a ... See full document
10
A Semi Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations
... the solutions in polynomial ...handling differential equations with point boundary value problems, kvd and mkdv differential-algebraic equations, and so ... See full document
9
On the Ulam stability of a class of Banach space valued linear differential equations of second order
... This work was supported by ‘Qing Lan’ Talent Engineering Funds by Tianshui Normal University. The second author acknowledges the support of the Humanity and Social Science Youth Foundation of Ministry of Education ... See full document
9
8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... transcendental meromorphic functions(see ...of solutions of the general differential ...of solutions of second order linear differential equations with ... See full document
11
On the growth of solutions of second order complex differential equation with meromorphic coefficients
... a meromorphic function f(z) Î EF, called it Edrei-Fuchs Class, if f(z) satisfies the conditions of Theorem A with p = q ≥ 1, that is, f(z) is of finite and posi- tive order and has p zero-pole ... See full document
13
Subnormal Solutions of Second Order Nonhomogeneous Linear Differential Equations with Periodic Coefficients
... the properties of the solutions of a linear differential equation with periodic coefficients is one of the difficult aspects in the complex oscillation theory of differential ... See full document
12
Comparison theorems for fourth order differential equations
... On the Oscillation of Solutions of a Class of Linear Fourth Order Differential Equations, Pacific J.. An Ordering of Oscillation Types for Anal.[r] ... See full document
5
Multiple periodic solutions for a class of second order neutral functional differential equations
... have also been employed to prove the existence of multiple periodic solutions of mixed type differential equations in []. When (.) reduces to the special case, see system (.), we obtain a more accurate ... See full document
8
On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... of meromorphic functions is a powerful tool in the field of complex differential ...differential equations in the complex plane by using Nevanlinna theory; see, for example ...The order of growth of ... See full document
13
On the growth of solutions of a class of second order complex differential equations
... guarantee that every solution f ≡ of equation () has infinite order? There has been much work on this subject. For example, it follows from the work by Gunderson [], Hellerstein et al. [] that if A(z) and B(z) ... See full document
9
Oscillation of a class of second order linear impulsive differential equations
... differential equations are recognized as adequate mathematical models for studying evolution processes that are subject to abrupt changes in their states at certain ...all solutions of impulsive differential ... See full document
12
Some results of meromorphic solutions of second order linear differential equations
... Lemma . (see [, ]) Let F (r) and G(r) be nondecreasing real-valued functions on (, ∞) such that F(r) ≤ G(r) for all r outside of a set E ⊂ (, ∞) of finite linear measure or outside of a set H ∪ [, ], where ... See full document
14
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... linear measure zero, we have (3.13) holds, for sufficiently large |z| = r. Then by Lemma 2.6, we get ρ (g) ≤ ρ + 3ε < σ for a small positive ε, a contradiction with ρ (g) ≥ σ. Hence, every transcendental ... See full document
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