Special Issue "Functional Differential Equations"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (1 July 2015) | Viewed by 4779
After the theories of ordinary differential equations and integral equations have been consolidated (in the mid 20th Century), new types of functional or functional differential quations, or mixed type as integrodifferential equations have caught the attention of the research world.
We should mention first that the equations with deviated arguments, usually delayed, are able to describe causal phenomena, or equations involving various operators. The birth of Functional Analysis has produced new tools to investigate new types of functional equations. Notably, the fathers of Functional Analysis, such as Volterra, Radon and F. Riesz, had preoccupations in this regard. While the classical types of functional or functional differential equations have reached an advanced stage/status, the new types of equations are not yet very advanced. Extra efforts and dedication are necessary to further these relatively new theories in cases of non-classical types of functional differential equations. Attention must be directed, in both finite and infinite cases of dimensions, as required by the new applications on the horizon.
The above is the goal of this issue of our journal. Thank you for your cooperation.
Prof. Dr. Constantin Corduneanu
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- functional differential equations;
- classical differential equations;
- non-classical functional differential equations;
- related functional equations;
- causal functional equations;
- integral equations (Volterra, Fredholm, Hammerstein, Urysohn);
- integrodifferential equations;
- equations with operators or operatorial equations;
- applications of the above