[PDF] Top 20 On decreasing solutions of second order nearly linear differential equations
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On decreasing solutions of second order nearly linear differential equations
... existing linear results; and second, as an analysis of the border case in the sense of the above described sub-linear and super-linear setting in (), where, in addition, a nonlinear- ity can ... See full document
13
A program for predicting the intervals of oscillations in the solutions of ordinary second order linear homogeneous differential equations
... then emerges. In what follows, we always begin with the canonical form () since all or- dinary second-order linear homogeneous differential equations can be initially cast into this form. We ... See full document
23
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
29
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
... This paper also deals with the case that f satisfies 1.13 and is unbounded above on −∞, L. In contrast to 12, here we prove the existence of a homoclinic solution for f having a linear behaviour near −∞. The proof ... See full document
21
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications
... quasi-linear second-order partial differential and integral equations (PDIEs) by using the solutions of BSDEs with Poisson jumps, which is called a general Feynman–Kac ... See full document
14
A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations
... of equations () and ()) for analytic studies of all OSLH differential equa- tions (Section ...the second predictor is applied to the canonical form () after the first predictor has returned negative ... See full document
9
Subnormal Solutions of Second Order Nonhomogeneous Linear Differential Equations with Periodic Coefficients
... 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
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
On Approximate Solutions of Second Order Linear Partial Differential Equations
... In this paper, a Chebyshev polynomial approximation for the solution of second-order partial differential equations with two variables and variable coefficients is given. Also, Chebyshev ... See full document
7
On the Growth of Solutions of Some Second Order Linear Differential Equations
... In this paper, we will assume that the reader is familiar with the fundamental results and the standard notations of the Nevanlinna’s value distribution theory of meromorphic functions e.g., see 1–3. In addition, we will ... See full document
9
Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document
14
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... meromorphic solutions to homogeneous and non-homogeneous second order linear differential equations f 00 + Af 0 + Bf = F, where A (z) , B (z) and F (z) are meromorphic functions ... See full document
8
On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... differential equations. For an introduction to the theory of differential equations in the complex plane by using Nevanlinna theory; see, for example ...The order of growth of solutions of the ... See full document
13
On the growth of solutions of certain higher order linear differential equations
... Proof of Theorem . Let f be a solution of (.), then f is a nonzero entire function. Using a similar proof to Step in the proof of Theorem ., we obtain that σ (f ) ≥ n. Now we prove that σ(f ) = ∞ . Suppose that ... See full document
14
On the growth of solutions of higher order complex linear differential equations
... having linear measure zero such that if 𝜑 0 ∈ [0, 2𝜋) − 𝐸 , then there is a constant 𝑅 0 = 𝑅 0 (𝜑 0 ) > 1 so that for all 𝑧 satisfying 𝑎𝑟𝑔 𝑧 = 𝜑 0 and |𝑧| = 𝑟 ≥ 𝑅 0 , we have ... See full document
5
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
28
Hyers ulam stability of exact second order linear differential equations
... exact second-order linear differential ...following equations: second-order linear differential equation with constant coefficients, Euler ... See full document
7
Power series method and approximate linear differential equations of second order
... Obłoza seems to be the first author who has investigated the Hyers-Ulam stability of linear differential equations (see [, ]). Thereafter, Alsina and Ger [] proved the Hyers- Ulam stability of the ... See full document
9
Fully non-linear parabolic differential equations of second order
... The estimates to be proved are of three types; a maximum principle similar to the Aleksandrov-Bakelman Max1mum Pr1nc1ple for subsolutions of linear equations, a local max1mum principle s[r] ... See full document
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