This paper mainly studies the problem of solving a class of first-order nonlinear non-homogeneous ordinary differential equations with variable coefficients， which can be transformed into solvable ...

College of Civil Engineering and Mechanics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China. Many phenomena in engineering physics, ...

The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...

In this article, we study a first order nonlinear delay differential equation x'( t )+ ∑ i=1 m p i ( t ) f i ( x( τ i ( t ) ) )=0, t≥ t 0 , where pi(t) and τi(t) are the functions of nonnegative of ...

A direct power series substitution technique is proposed to solve second order nonlinear differential equations. The errors in truncated power series are estimated to determine the significance of the ...

Abstract: Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be ...

Abstract: In this paper, we study the oscillations of a kind of second-order nonlinear delay differential equations with variable sign oscillation factors. Three sufficient conditions about the ...