[PDF] Top 20 On the growth of solutions of a class of second order complex differential equations
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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
On the hyper order of solutions of two class of complex linear differential equations
... of solutions of two class of complex linear differential ...the growth of solutions of higher order and certain second order linear differential equations, and ... See full document
12
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications
... linear growth. Then we give a probabilistic formula for a class of quasi-linear second-order partial differential and integral equations (PDIEs) by using the solutions of ... See full document
14
On the growth of solutions of second order complex differential equation with meromorphic coefficients
... the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic ...Edrei-Fuchs class and B(z) has a deficient value ∞ , if f ≢ 0 is a meromorphic solution of the equation, then f must ... See full document
13
Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... the growth of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document
14
Boundedness of solutions for a class of second-order differential equation with singularity
... where V (x, t) satisfies some growth conditions and V(x, t) = V (x, t +). The author reduced the system to a normal form and then applied Moser twist theorem to prove the existence of quasi-periodic solution and ... See full document
15
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 meromorphic ... See full document
8
A Semi Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations
... 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
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
Multiple periodic solutions to a class of second order nonlinear mixed type functional differential equations
... periodic solutions of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...periodic solutions for a ... See full document
14
Limit Properties of Solutions of Singular Second-Order Differential Equations
... use techniques developed in the classical framework dealing with boundary value problems, exhibiting a singularity of the first and second kind; see 15, 16, respectively. However, in these papers, the analytical ... See full document
28
On decreasing solutions of second order nearly linear differential equations
... and asymptotic formulas can be established. In contrast to the linear case, a reduction of order formula is not at our disposal. A topic which would also be of interest is to obtain more precise information as ... See full document
13
Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping
... We shall consider only nontrivial solutions of Equa- tion (1.1) which are defined for all large t. A solution of Equation (1.1) is said to be oscillatory if it has arbitrarily large zeros, otherwise it is said to ... See full document
8
On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order
... of second order can arise during many applications in various scientific areas such as physics, biology, chemistry, biophysics, me- chanics, medicine, aerodynamics, economy, atomic energy, control theory, ... See full document
19
Periodic solutions for a class of second order delay differential systems
... differential equations, mathematical physics, and geometrical ...of solutions for Hamilton systems and Schrödinger equations have been studied extensively via critical point theory; see ... See full document
12
Multiple solutions for a class of perturbed second-order differential equations with impulses
... In the present paper, employing two sorts of three critical points theorems obtained in [, ], which we will recall in the next section (Theorems . and .), we establish the existence of at least three weak ... See full document
16
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 the Growth of Solutions of Some Second Order Linear Differential Equations
... 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 ... See full document
9
On the growth of solutions of higher order complex linear differential equations
... There are many authors investigated the growthiof solutions of (1.1). Z. X. Chen and C.C. Yang in 2002 [12] proved that 𝜌 2 (𝑓) = 𝜌(𝐴 0 ) provided that the order of 𝐴 0 dominated the maximum order of ... See full document
5
On the oscillation of solutions for a class of second order nonlinear stochastic difference equations
... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document
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