Therefore, the problem mapped onto the new domain is not of the form of Poisson's equation but a little more complex two-variable second-order
linear differential equation, which requires the solution introduced in Section 2.
XI] has generalized the classical Lyapunov inequality for the
linear differential equationThese polynomials, called Freud-type orthogonal polynomials, satisfy a second order
linear differential equation with varying polynomial coefficients.
Unfortunately, not every non
linear differential equation has a small parameter.
It is well known that the corresponding Caratheodory function satisfies a first order
linear differential equation[15] Walter Leighton, The detection of the oscillation of solutions of a second order
linear differential equation, Duke Math.
Section 2 discussed the oscillatory and nonoscillatory properties of the third-order
linear differential equation. In Section 3, the necessary conditions and the derivation for exponentially fitted and trigonometrically fitted modified Runge-Kutta type methods for solving third-order ODEs are given.
Ra[section]a, "On the Hyers-Ulam stability of the
linear differential equation," Journal of Mathematical Analysis and Applications, vol.
In this paper we consider the scalar
linear differential equation with time varying delay
In the value distribution theory of entire functions, Bruck's conjecture [6] is still an open question, and it has close relation to the following nonhomogeneous complex
linear differential equation,
[6] obtained the Hyers-Ulam stability of a
linear differential equation using Laplace transforms.