This paper considered the following periodic boundary value problem for nonlinear integro _differential equation(PBVP) -x″=f(t,x,x′,Tx),x(0)=x(1),x′(0)=x′(1). It obtained the existence and uniqueness of solutions for PBVP,and gived their application in higher order differential equations.
In this paper,we use the fixed point index theory to investigate the existence of multiple positive solutions for some singular semi-positone m-point boundary value problems of higher order differential equations.
The thesis states the high order differentiator (HOD) that does not depend on the model of the controlled plant. The HOD can extract high quality one-order differential signal and high-order differential signals of the given signal.
本文论述了不依赖被控对象模型的高阶微分器(High order differentiator-HOD),该HOD能高品质的提取信号的一阶微分及高阶微分信号。
In order to solve this problem and the problems of the gain of relative degree,and of the higher-order differential operation,a first-order D-type iterative learning control design scheme was presented for a class of nonlinear systems with arbitrary higher relative degree based on the dummy model.
The self-adjointness conditions for a higher order differential operator with an operator coefficient
Iterated processes and their applications to higher order differential equations
In this paper, it has been studied that the singular perturbations for the higher order nonlinear boundary value problem of the form by the method of higher order differential inequalities and boundary layer correction.
In classical electron theory, the equation of motion with radiative reaction features a higher order differential structure and a characteristic length.
Consideration is given to an analogous quantum equation of motion, a new equation that features a higher order differential structure and the characteristic length of classical theory.
By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large scale differential systems with time lag and the stability of a higher-order differential equation with time lag.
On Higher-Order Differential Operators with Singularity inside the Interval
The extended theorem about the conditions for the existence of Hopf bifurcation is proved in higher-order differential equations with several parameters.
In this paper, we present two numerical methods for solving higher-order differential equations using the Laguerre Tau method.
Blow-Up Kneser Solutions of Nonlinear Higher-Order Differential Equations