Integral equations as evolution equations

Article Properties
Cite
Chen, Goong, and Ronald Grimmer. “Integral Equations As Evolution Equations”. Journal of Differential Equations, vol. 45, no. 1, 1982, pp. 53-74, https://doi.org/10.1016/0022-0396(82)90054-7.
Chen, G., & Grimmer, R. (1982). Integral equations as evolution equations. Journal of Differential Equations, 45(1), 53-74. https://doi.org/10.1016/0022-0396(82)90054-7
Chen, Goong, and Ronald Grimmer. “Integral Equations As Evolution Equations”. Journal of Differential Equations 45, no. 1 (1982): 53-74. https://doi.org/10.1016/0022-0396(82)90054-7.
Chen G, Grimmer R. Integral equations as evolution equations. Journal of Differential Equations. 1982;45(1):53-74.
Refrences
Title Journal Journal Categories Citations Publication Date
An integrodifferential equation for rigid heat conductors with memory Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1978
An abstract nonlinear Volterra integrodifferential equation Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1978
An abstract functional differential equation and a related nonlinear Volterra equation 1978
Existence, uniqueness and continuity for integral equations in a Banach space Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1977
Asymptotic behavior for a linear Volterra integral equation in Hilbert space Journal of Differential Equations
  • Science: Mathematics
17 1977
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
On the admissibility and input–output representation for a class of Volterra integro-differential systems Mathematics of Control, Signals, and Systems
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2023
On a class of retarded integro-differential Volterra equations Advances in Operator Theory
  • Science: Mathematics
2023
On the inversion and admissibility for a class of Volterra integro-differential problems

IMA Journal of Mathematical Control and Information
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
1 2022
Non-Markovian Evolution of Multi-level System Interacting with Several Reservoirs. Exact and Approximate Lobachevskii Journal of Mathematics
  • Science: Mathematics
1 2019
Existence results for some damped second-order Volterra integro-differential equations Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
3 2014
Citations Analysis
The category Science: Mathematics 15 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Analytic resolvent operators for integral equations in Banach space and was published in 1983. The most recent citation comes from a 2023 study titled On the admissibility and input–output representation for a class of Volterra integro-differential systems. This article reached its peak citation in 2023, with 2 citations. It has been cited in 15 different journals, 6% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year