D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 59 Citations 22,045 258 World Ranking 282 National Ranking 152

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Differential equation
  • Complex number

The scientist’s investigation covers issues in Mathematical analysis, Dynamic equation, Oscillation, Differential equation and Applied mathematics. Martin Bohner has researched Mathematical analysis in several fields, including Pure mathematics and Nonlinear system. His work in Dynamic equation covers topics such as Order which are related to areas like Sign, Riemann hypothesis and Bibliography.

His biological study spans a wide range of topics, including Population model, Sturm–Liouville theory, Scale, Divide-and-conquer eigenvalue algorithm and Discretization. His research investigates the connection between Applied mathematics and topics such as Calculus that intersect with issues in Type and Inequality. His studies examine the connections between Simultaneous equations and genetics, as well as such issues in Independent equation, with regards to Euler equations, Dynamical systems theory, Reduction of order and Elliptic partial differential equation.

His most cited work include:

  • Dynamic Equations on Time Scales: An Introduction with Applications (2019 citations)
  • Dynamic Equations on Time Scales (1825 citations)
  • Advances in dynamic equations on time scales (1423 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Mathematical analysis, Applied mathematics, Differential equation, Dynamic equation and Oscillation. His research on Mathematical analysis often connects related areas such as Nonlinear system. His Applied mathematics research includes themes of Type, Lyapunov function and Calculus.

His Type research is multidisciplinary, relying on both Pure mathematics and Inequality. His Differential equation study focuses on Beverton–Holt model in particular. His research integrates issues of Differential algebraic equation, Numerical partial differential equations, Simultaneous equations and Euler equations in his study of Independent equation.

He most often published in these fields:

  • Mathematical analysis (50.15%)
  • Applied mathematics (26.15%)
  • Differential equation (18.77%)

What were the highlights of his more recent work (between 2015-2021)?

  • Applied mathematics (26.15%)
  • Mathematical analysis (50.15%)
  • Differential equation (18.77%)

In recent papers he was focusing on the following fields of study:

Martin Bohner mainly focuses on Applied mathematics, Mathematical analysis, Differential equation, Order and Pure mathematics. Martin Bohner interconnects Type, Dynamic equation, Lyapunov function, Nonlinear system and Inequality in the investigation of issues within Applied mathematics. Martin Bohner undertakes multidisciplinary studies into Mathematical analysis and Oscillation in his work.

His Differential equation study typically links adjacent topics like Class. He combines subjects such as Fractional calculus and Banach space with his study of Order. The concepts of his Pure mathematics study are interwoven with issues in Quantum calculus and Operator.

Between 2015 and 2021, his most popular works were:

  • PARTIAL DIFFERENTIATION ON TIME SCALES (75 citations)
  • Multiple Integration on Time Scales (66 citations)
  • Fite–Hille–Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments (47 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Complex number
  • Differential equation

Martin Bohner mostly deals with Mathematical analysis, Applied mathematics, Order, Differential equation and Fractional calculus. His Mathematical analysis study frequently intersects with other fields, such as Dynamic equation. His studies deal with areas such as Eigenvalues and eigenvectors, Variable, Dual and Nonlinear system as well as Applied mathematics.

His work deals with themes such as Linear programming, Banach space and Work, which intersect with Order. His Differential equation research is multidisciplinary, incorporating elements of Econometrics and Population model. His Fractional calculus study combines topics from a wide range of disciplines, such as Cobweb model and Conformable matrix.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Advances in dynamic equations on time scales

Martin Bohner;Allan Peterson.
(2003)

3941 Citations

Dynamic Equations on Time Scales: An Introduction with Applications

Martin Bohner;Allan C. Peterson.
(2001)

3313 Citations

Dynamic Equations on Time Scales

Martin Bohner;Allan Peterson.
(2001)

3018 Citations

Dynamic equations on time scales: a survey

Ravi Agarwal;Martin Bohner;Donal O'Regan;Allan Peterson.
Journal of Computational and Applied Mathematics (2002)

717 Citations

Basic Calculus on Time Scales and some of its Applications

Ravi P. Agarwal;Martin Bohner.
Results in Mathematics (1999)

631 Citations

Discrete Oscillation Theory

Ravi P. Agarwal;Martin. Bohner;Said R Grace;Donal O'Regan.
(2005)

339 Citations

Inequalities on Time Scales: A Survey

Ravi P. Agarwal;Martin Bohner;Allan Peterson.
Mathematical Inequalities & Applications (2001)

329 Citations

Nonoscillation and Oscillation Theory for Functional Differential Equations

Ravi P. Agarwal;Wan-Tong Li;Martin Bohner.
(2004)

323 Citations

Sturm-Liouville eigenvalue problems on time scales

Ravi P. Agarwal;Martin Bohner;Patricia J. Y. Wong.
Applied Mathematics and Computation (1999)

223 Citations

Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales

S. H. Saker;Martin Bohner.
Rocky Mountain Journal of Mathematics (2004)

196 Citations

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