linear differential equation of second order
![Complex oscillation of a second order linear differential equation with entire coefficients of [p,q]−φ order](data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==)
Complex oscillation of a second order linear differential equation with entire coefficients of [p,q]−φ order
... In this paper, we shall assume that readers are familiar with the standard notations of Nevanlinna value distribution theory (see [–]). The theory of complex linear equations has been developed since s. Many ...
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On the stability of linear differential equations of second order
... the linear differential equation ...the equation y 00 (x)+αy 0 (x)+βy(x) = f (x) always has the Hyers-Ulam stability and the proof methods are different from those of [21] and ...the ...
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Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
... the differential equation of the form ty 00 (t) + αty 0 (t) + β y(t) = ...of linear differential equations of Second Order, Li and Yan [8, 9] also investigated the Hyers-Ulam ...
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A variational formalism for the eigenvalues of fourth order boundary value problems
... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ...
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Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions
... nonhomogeneous second order Linear Differential Equations of the form y 00 + p ( x ) y 0 + q ( x ) y + r ( x ) = 0 under some special ...for second order linear ...
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Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations
... The Liebmann’s and Gauss Seidel finite difference methods of solution are applied to a two dimensional second order linear elliptic partial differential equation with specified ...
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A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation
... 2D linear second-order equations with variable coefficients and the mixed derivative term like (1), it is impossible to get an explicit fourth- order compact difference scheme with 9 grid points ...
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Boundary value problems for differential equations with reflection of the argument
... Now consider the following second order linear functional differential equation.. By differentiation and algebraic elimination this equa-.[r] ...
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Positive periodic solutions for a second-order functional differential equation
... ing linear second-order periodic problems plays an important ...the second-order periodic problems are cone-preserving in the ...
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Oscillation of a class of second order linear impulsive differential equations
... In [] Luo et al. and [] Guo et al. gave some excellent results on the oscillation and nonoscillation of Eq. (.) by using associated Riccati techniques and an equivalence trans- formation. Moreover, Luo et al. ...
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On decreasing solutions of second order nearly linear differential equations
... our equation () (which arises as a variant of () with specific nonlinearities) is neither super- linear nor sub-linear, since the indices of regular variation of F and G are the ...Emden-Fowler ...
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Introduction of Laplace Transform and ELzaki Transform with Application (Electrical Circuits)
... of linear differential equation (second or higher order) is simplified by use both ...ordinary differential equation and system of ODEs that arise in mathematical ...
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Philos-type oscillation criteria for second-order linear impulsive differential equation with damping
... short-term perturbations and experience abrupt changes at certain moments of time. By employing a generalized Riccati transformation technique, we derive several oscillation criteria which are either new or improve ...
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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 matrix is ...
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NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... In order to find the phonon dispersion, the equation of motion for elastic vibration should be ...the equation of motion for the elastic vibrations in an anisotropic medium can be written as ...
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Boundedness of solutions for a class of second-order differential equation with singularity
... Theorem Under the assumptions (.) and (.), all the solutions of (.) are bounded. The main idea of our proof is acquired from []. The proof of Theorem is based on a small twist theorem due to Ortega []. It ...
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On Lyapunov type Inequality for a Class of Partial Differential Equations
... Since the appearance of Lyapunov’s fundamental paper [1], considerable attention has been given to various extensions and improvements of the Lyapunov-type inequality from different viewpoint (see book [2]). A thorough ...
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Paper 06-2012-1
... non- linear oscillator with slowly varying parameters (Lamarque et ...in order to identify some physical parameters modelling a mechanical system from experimental dynamic ...non-linear ...
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Analytic solution of certain second order functional differential equation
... In recent years, the study of the existence of analytic solutions of iterative functional differential equations has attracted several researchers, see [2–11] and references cited therein. In [3], the authors studied the ...
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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] ...
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