The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation
The equation in when is quasi-invertible
The Equivalence Of Certain Linear And Nonlinear Differential Equations Of N-th Order
The equivalence of controlled lagrangian and controlled hamiltonian systems
The purpose of this paper is to show that the method of controlled lagrangians and its hamiltonian counterpart (based on the notion of passivity) are equivalent under rather general hypotheses. We study the particular case of simple mechanical control systems (where the underlying lagrangian is kinetic minus potential energy) subject to controls and external forces in some detail. The equivalence makes use of almost Poisson structures (Poisson brackets that may fail to satisfy the Jacobi identity)...
The Equivalence of Controlled Lagrangian and Controlled Hamiltonian Systems
The purpose of this paper is to show that the method of controlled Lagrangians and its Hamiltonian counterpart (based on the notion of passivity) are equivalent under rather general hypotheses. We study the particular case of simple mechanical control systems (where the underlying Lagrangian is kinetic minus potential energy) subject to controls and external forces in some detail. The equivalence makes use of almost Poisson structures (Poisson brackets that may fail to satisfy the Jacobi identity)...
The equivalence of some integral equations and boundary value problems
The existence and some properties of solutions of a differential equation with deviated argument
The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations
The existence and uniqueness of positive solutions for integral boundary value problems.
The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance.
The existence of a solution of a nonlinear boundary value problem
The existence of bounded solutions for differential equations in Hilbert spaces
The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
The existence of countably many positive solutions for nonlinear th-order three-point boundary value problems.
The existence of global solutions of a functional-differential equation
The existence of homoclinic solutions for hyperbolic equations.
The existence of limit cycle for perturbed bilinear systems
In this paper, the feedback control for a class of bilinear control systems with a small parameter is proposed to guarantee the existence of limit cycle. We use the perturbation method of seeking in approximate solution as a finite Taylor expansion of the exact solution. This perturbation method is to exploit the “smallness” of the perturbation parameter to construct an approximate periodic solution. Furthermore, some simulation results are given to illustrate the existence of a limit cycle for...
The existence of multiple positive solutions of -Laplacian boundary value problems
The existence of periodic solutions for a class of nonlinear functional differential equations
This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.
The existence of periodic solutions of an autonomous second order non-linear differential equation
The existence of positive solution to a nonlinear fractional differential equation with integral boundary conditions.