[PDF] Top 20 Approximately $n$-order linear differential equations
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Approximately $n$-order linear differential equations
... of differential equation y 0 = y was first investigated by Alsina and Ger ...valued differential equation y 0 = ...of linear differential of first order, y 0 + g(t)y(t) = 0, where g(t) ... See full document
5
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
Some results of meromorphic solutions of second order linear differential equations
... the order of growth of a meromorphic function f (z), λ(f ) to denote the exponents of convergence of the zero- sequence of a meromorphic function f (z), λ(f ) to denote the exponents of convergence of the sequence ... See full document
14
Hyers Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
... functional equations: give conditions in order for a linear mapping near an approximately linear mapping to ...of approximately additive mappings was solved by Hyers 2 when G 1 ... See full document
7
On the hyper order of solutions of two class of complex linear differential equations
... finite order, it is well known that every solution f ≡ of ...infinite order if ρ(A) < ρ(B) or ρ(B) < ρ(A) ≤ / (see ...infinite order of ... See full document
12
Hyers ulam stability of exact second order linear differential equations
... the differential equation y ’ = y was first investigated by Alsina and Ger ...space-valued differential equation y’ = ...a linear differential equation of ... See full document
7
Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... The comparison in between the exact solution and its approximate solution in Examples 4.1,4.2, 4.3, 4.4 obtained with the help of Method of variation of parameters and DTM. From the numerical results, it is clear that ... See full document
5
Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... Loosely speaking, the ‘Riemann sum’ in (6C.2) chops the interval [a, b] up into N equal subintervals. The corresponding sum in the Lebesgue integral allows us to chop [a, b] into any number of ‘Borel-measurable ... See full document
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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 more ... See full document
9
Solution for order mixed Fredholm-Volterraintegro-differential equations using Haar wavelets
... n order mixed Fredholm- Volterraintegro-differential equations. Efficiency and applicability of the method are illustrated by considering few test problems. By the analysis of numerical ... See full document
11
On a periodic boundary value problem for second-order linear functional differential equations
... erential equations has been studied by many authors (see, for instance, [1, 2, 3, 4, 5, 6, 8, 9] and the references ...for linear ordinary di ff erential equations, and on the other hand describe some ... See full document
15
An existence result for n^{th}-order nonlinear fractional differential equations
... In [3], Benchohra, Henderson, Ntouyas and Ouahab used the Banach fixed point Theorem and the nonlinear alternative of Leray–Schauder principle to investigate the existence of solutions for fractional order ... See full document
13
An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method
... differential equations, Rational Chebyshev tau method for solving higher-order ordinary differential equations is presented by ...of linear differential ...higher ... See full document
8
Nonlinear differential equations and algebraic systems
... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ... See full document
11
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
On the constructive investigation of a class of linear boundary value problems for n th order differential equations with deviating arguments
... The aim of this study is to check whether the problem () is correctly solvable, having in mind the computer-assisted proof techniques. This issue is described in detail in []. Below suppose that the problem () is ... See full document
11
Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... In 2002, Chen [3] considered the question: What conditions on B(z) when ρ(B) = 1 will guarantee that every nontrivial solution of (1.1) has infinite order? He proved the following result, which improved results of ... 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
8
On the stability of linear differential equations of second order
... The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation (1.2) in general case. More precisely, we prove that the equation y 00 (x)+αy 0 (x)+βy(x) = f (x) always ... See full document
6
Numerical Solution of n th Order Fuzzy Linear Differential Equations by Homotopy Perturbation Method
... In this paper, HPM has been successful applied to find the solution of n -th order fuzzy differential equations. The solution obtained by HPM is an infinite series with appropriate initial ... See full document
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