Advances in Dynamic Equations on Time Scales

By Martin J. Bohner, Allan Peterson. 2012

1,830 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0abcda43723d7e84892b72d8f701f60816c8fdce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Antonín Slavik
2. Samir H. Saker
3. Dumitru Băleanu
4. Gusein Sh. Guseinov
5. Thabet Abdeljawad
6. Martin J. Bohner
7. Allan Peterson
8. Lynn Erbe

In Numerical Analysis

1. Martin J. Bohner
2. Tongxing Li
3. Samir H. Saker
4. Ravi P. Agarwal
5. Allan Peterson
6. Lynn Erbe
7. Dumitru Băleanu
8. Chenghui Zhang

In Statistical and Nonlinear Physics

1. Thabet Abdeljawad
2. Antonín Slavik
3. Gusein Sh. Guseinov
4. Delfim F. M. Torres
5. Dumitru Băleanu
6. Lynn Erbe
7. Murat Adıvar
8. Jaqueline Godoy Mesquita

Citations in the corpus

• Two monotonicity results for nabla and delta fractional differences (2015, background): “[5]).”
• On fractional derivatives with exponential kernel and their discrete versions (2016, methodology): “For the delta Laplace convolution theory we refer to ([5], Section 3.”
• Measure functional differential equations and functional dynamic equations on time scales (2012, background): “The definitions and properties of the -derivative and -integral can be found in [1] and [2].”
• Weighted Hardy-Type Inequalities on Time Scales with Applications (2016, methodology): “For more details of time scale analysis we refer the reader to the two books by Bohner and Peterson [11,12] which summarize and organize much of the time scale calculus.”
• Convexity for nabla and delta fractional differences (2015, background): “Probably more work has been developed for the backward or nabla difference and we refer the readers [6] and [9].”
• Comparison theorems and asymptotic behavior of solutions of discrete fractional equations (2015, background): “backward or nabla difference operator and we refer the readers to [5,7].”
• Almost automorphic solutions of dynamic equations on time scales (2013, background): “We also point out that Ā is Riemann ∆-integrable, since Ā is a bounded function (see [12]).”
• Hille and Nehari type criteria for third-order delay dynamic equations (2013, background): “1 4 ; ð1:5Þ where h2ðt; sÞ is the Taylor monomial of degree 2 (see Bohner and Peterson [6, Section 1.6]).”