Existence theorems of solutions for nonlinear impulsive volterra integral equations in banach spaces
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In this paper, we use the M?nch fixed-point theorem to prove some existence theorems of solutions for the nonlinear impulsive Volterra integral equations in Banach spaces that improve and extend the results in [2].
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Existence of solutions for second order impulsive differential equations
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In this paper, we apply the coincidence degree theory to study nonlinear second order impulsive periodic boundary value problems (PBVP).
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Existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces
This paper gives a method for analysing and computing the response of a multiple -layered cylindrical structure to impulsive waves in an infinite elastic medium. In the analysis of the response of a multiple-layered structure the number of equations increases with the number of layers of the structure.This makes the computation more difficult. Based on the behaviour of a multiple-layered structure this paper makes use of "the tramsfer matrix" to compute it. By using this method, epuations always keep ...
Some integral inequalities of Bihari type containing Stielties integrals havebeen established and used to investigate the stability and boundedness of measuredifferential equations and nonlinear differential systems in which perturbationsare impulsive,results obtained improve the corresponding parts of [7],[10] and[11] to some extent.
The impulsive equation for general dynamic systems represented by pseudo-velocities is presented. The dynamic systems may be holonomic cr non-holonomic. A matrix method for solving this equation is studied, which euables us to treat the impact motion of complex systems more easily.Three types of impact and its fundamental properties are discussed. It is demonstrated that the Newton's rule of impact and Carnot theorem are valid for the impulsive motion of complex systems. The "quivalent impuls...