Abstract

This chapter considers time scale versions of Levinson, Chang and Pachpatte type inequalities. The chapter is divided into six sections and is organized as follows. In Sects. 6.1 and 6.2 we present a variety of dynamic inequalities of Levinson type on time scales. In Sect. 6.3 we consider dynamic inequalities of Pachpatte type via convexity. Section 6.4 considers dynamic inequalities of Yang and Hwang type on time scales. In Sect. 6.5 we present dynamic inequalities of Chan type on time scales and in Sect. 6.6 we consider dynamic inequalities of Pachpatte type containing the logarithmic function.

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