On Volterra functional operator games on a given set

2014 ◽  
Vol 75 (4) ◽  
pp. 787-803 ◽  
Author(s):  
A. V. Chernov
Keyword(s):  
2001 ◽  
Vol 6 (1) ◽  
pp. 138-146 ◽  
Author(s):  
P. Plaschinsky

Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator systems are constructed, their maximal ideal spaces are investigated.


Fractals ◽  
2019 ◽  
Vol 27 (06) ◽  
pp. 1950093 ◽  
Author(s):  
LI MA

The main purpose of this paper is to investigate the weak singularity of solutions for some nonlinear Hadamard fractional differential systems (HFDSs). By constructing proper Banach space and employing lower and upper solutions technique, we prove the existence of the blow-up solutions for a class of HFDSs. In addition, we establish a more general condition than the classical Lipschitz condition which is employed to guarantee the equivalence between the solutions to HFDS and the corresponding functional operator. Also several examples are presented to verify our theoretical results.


2014 ◽  
Vol 20 ◽  
pp. 253-266 ◽  
Author(s):  
А. Тамминга

I apply Kooi and Tamminga’s (2012) idea of correspondence analysis for many-valued logics to strong three-valued logic (K3). First, I characterize each possible single entry in the truth-table of a unary or a binary truth-functional operator that could be added to K3 by a basic inference scheme. Second, I define a class of natural deduction systems on the basis of these charac- terizing basic inference schemes and a natural deduction system for K3. Third, I show that each of the resulting natural deduction systems is sound and complete with respect to its particular semantics. Among other things, I thus obtain a new proof system for _ukasiewicz’s three-valued logic.


2007 ◽  
Vol 2 (1) ◽  
pp. 56-63
Author(s):  
Ma’ruf Akbar

Learning mentor has an important role in implementing NFE programs, especially as a technical functional operator, learning model developer, instructor and evaluator. They should be able to do the evaluation in order to control the quality and the implementation impact of NFE programs. NFE provides educational services which have to be improved continuously in the aspects of planning, implementation, learning achievment and the outcome.


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