D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 56 Citations 10,231 383 World Ranking 539 National Ranking 286

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Boundary value problem
  • Differential equation

Johnny Henderson spends much of his time researching Mathematical analysis, Boundary value problem, Nonlinear system, Order and Differential equation. The study of Mathematical analysis is intertwined with the study of Green's function in a number of ways. His Boundary value problem research is multidisciplinary, incorporating perspectives in Conjugate, Pure mathematics and Combinatorics.

His studies in Nonlinear system integrate themes in fields like Eigenvalues and eigenvectors and Applied mathematics. His Order course of study focuses on Measure and Existence theorem. In general Differential equation study, his work on Functional equation often relates to the realm of Flexibility, thereby connecting several areas of interest.

His most cited work include:

  • Impulsive Differential Equations and Inclusions (584 citations)
  • Existence results for fractional order functional differential equations with infinite delay (345 citations)
  • Positive Solutions for Nonlinear Eigenvalue Problems (183 citations)

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

Johnny Henderson mostly deals with Mathematical analysis, Boundary value problem, Nonlinear system, Order and Differential equation. As part of his studies on Mathematical analysis, he often connects relevant areas like Pure mathematics. His Pure mathematics research incorporates themes from Point boundary and Uniqueness.

The various areas that Johnny Henderson examines in his Boundary value problem study include Applied mathematics and Ordinary differential equation. His Nonlinear system study which covers Eigenvalues and eigenvectors that intersects with Cone. His Order study incorporates themes from Nonlinear differential equations and Combinatorics.

He most often published in these fields:

  • Mathematical analysis (72.30%)
  • Boundary value problem (64.38%)
  • Nonlinear system (25.33%)

What were the highlights of his more recent work (between 2013-2021)?

  • Mathematical analysis (72.30%)
  • Boundary value problem (64.38%)
  • Nonlinear system (25.33%)

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

The scientist’s investigation covers issues in Mathematical analysis, Boundary value problem, Nonlinear system, Applied mathematics and Fractional differential. Fixed-point theorem, Free boundary problem, Fixed point, Mixed boundary condition and Initial value problem are among the areas of Mathematical analysis where he concentrates his study. His Boundary value problem research is multidisciplinary, relying on both Numerical partial differential equations, Multiplicity, Fractional calculus, Ordinary differential equation and Order.

His biological study spans a wide range of topics, including Dirichlet boundary condition, Point and Lipschitz continuity. Johnny Henderson focuses mostly in the field of Applied mathematics, narrowing it down to matters related to Uniqueness and, in some cases, Point boundary and Class. His work deals with themes such as Riemann liouville and Banach space, which intersect with Fractional differential.

Between 2013 and 2021, his most popular works were:

  • On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions (65 citations)
  • Positive solutions for a system of fractional differential equations with coupled integral boundary conditions (46 citations)
  • Nonexistence of positive solutions for a system of coupled fractional boundary value problems (42 citations)

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

  • Mathematical analysis
  • Boundary value problem
  • Nonlinear system

Johnny Henderson mainly focuses on Mathematical analysis, Boundary value problem, Nonlinear system, Fractional differential and Fractional calculus. His work on Mathematical analysis is being expanded to include thematically relevant topics such as Eigenvalues and eigenvectors. His work is dedicated to discovering how Boundary value problem, Multiplicity are connected with Applied mathematics and other disciplines.

His Nonlinear system study combines topics from a wide range of disciplines, such as Dirichlet boundary condition, Point, Order and Lipschitz continuity. His Fractional differential research integrates issues from Riemann liouville and Banach space, Pure mathematics. His study looks at the intersection of Fractional calculus and topics like Ordinary differential equation with Stochastic partial differential equation, Linear differential equation and Sturm–Liouville theory.

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

Impulsive Differential Equations and Inclusions

Mouffak Benchohra;Johnny Henderson;Sotiris K. Ntouyas.
(2006)

1104 Citations

Existence results for fractional order functional differential equations with infinite delay

M. Benchohra;J. Henderson;S.K. Ntouyas;A. Ouahab.
Journal of Mathematical Analysis and Applications (2008)

653 Citations

Positive Solutions for Nonlinear Eigenvalue Problems

Johnny Henderson;Haiyan Wang.
Journal of Mathematical Analysis and Applications (1997)

319 Citations

Multiple symmetric positive solutions for a second order boundary value problem

Johnny Henderson;H. Thompson.
Proceedings of the American Mathematical Society (2000)

239 Citations

Three symmetric positive solutions for a second-order boundary value problem

Richard Avery;Johnny Henderson.
Applied Mathematics Letters (2000)

224 Citations

Fractional functional differential inclusions with finite delay

Johnny Henderson;Abdelghani Ouahab.
Nonlinear Analysis-theory Methods & Applications (2009)

213 Citations

Positive solutions for ( n −1,1) conjugate boundary value problems

Paul W. Eloe;Johnny Henderson.
Nonlinear Analysis-theory Methods & Applications (1997)

173 Citations

Implicit Fractional Differential and Integral Equations

Saïd Abbas;Mouffak Benchohra;John R. Graef;Johnny Henderson.
(2018)

172 Citations

An exploration of combined dynamic derivatives on time scales and their applications

Q. Sheng;M. Fadag;J. Henderson;J.M. Davis.
Nonlinear Analysis-real World Applications (2006)

158 Citations

Triple positive solutions and dependence on higher order derivatives

John M. Davis;Paul W. Eloe;Johnny Henderson.
Journal of Mathematical Analysis and Applications (1999)

152 Citations

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