differential equation

In the series of articles [8,11-14] the linearization problem of a third-order ordinary differential equation via the contact transformations was solved.

The generalized Bessel differential equation of order v and degree [mu] may have other applications and deserves separate study as it leads to generalizations of the Bessel and Neumann functions.

(5) In the paper titled "On the Existence of Positive Solutions for a Fourth-Order Boundary Value Problem," by using the method of order reduction and the fixed-point index, the existence of positive solutions for a fourth-order boundary value problem was studied and the conditions guaranteeing the existence of positive solutions were given which are related to the first eigenvalue corresponding to the relevant linear differential equation with dependence on the derivatives of the unknown function.

The situation becomes more difficult when we replace the ordinary differential equation with a functional integro-differential equation.

Despite the applicability of these classes of equations, there is no previous result on nonautonomous second-order nonlinear stochastic differential equation (8).

One-dimensional DTM can be extended (Chen and Ho, 1999) into two-dimensional DTM for resolving the integral and differential equations. DTM is basically a semi analytical method which is used to get numerical solutions of linear and nonlinear differential equations.

Discrete derivatives must be equal to the order of the derivatives in differential equation. .

Hemmatnezhad, "An efficient method for quadratic Riccati differential equation," Communications in Nonlinear Science and Numerical Simulation, vol.

To simulate a dynamic system is the same thing to solve (integrate) the differential equation which describes it, in known initial conditions, which represents initial starting of the system.

Rezapour: Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces, Bound.

For analyzing the basic characteristics of a linear system governed by the differential equation in response to initial data.

Periodic Differential Equations in the Plane: A Topological Perspective

The study of qualitative theory of various kinds of differential equations began with the birth of calculus, which dates to the 1660s.