By using the fixed point theorem in cones, in this paper, existence criteria for single and multiple positive solutions to a class of nonlinear firstorder periodic boundary value problems of impulsive dynamic equations on time scales are obtained. An example is given to illustrate the main results in this article.

This paper is devoted to study the positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations.The existence of positive solutions is established by using the fixed point theorem in cones. Mathematics Subject Classification: 34B15

ABSTRACT. In this paper, we establish the existence of at least three positive solutions for thirdorder impulsive Sturm-Liouville boundary value problems with p-Laplacian, by a fixed point theorem due to Avery and Peterson. We discuss our problem both for advanced and delayed arguments. An example is included to illustrate that corresponding assumptions are satisfied.

In this paper, the method of upper and lower solutions and monotone iterative technique are employed to the study of nonlinear three-point boundary value problems for a class of first order impulsive integro-differential equations of mixed type. Sufficient conditions for the existence of extreme solutions are obtained. Mathematics Subject Classification: 34B37

fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional differential equations. therefore, a reliable and efficient technique as a solution is regarded.this paper develops approximate solutions for boundary value problems ofdifferential equations with non-integer order by using the shannon waveletbases. wavelet bases have d...