Results 91 to 100 of about 127,882 (296)

THE SUBSTITUTION THEOREM FOR RIEMANN INTEGRALS [PDF]

open access: yesReal Analysis Exchange, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

A Novel Fractional‐Order Predictive PI Controller Approach for the Systems With Noninteger Order Delay

open access: yesOptimal Control Applications and Methods, EarlyView.
Hybrid Algorithm‐Based Optimal FOPI Controller in Three‐phase UPQC system ABSTRACT Time delay (TD) is a common phenomenon in practical systems. Most studies have focused on the classical notion of integer‐order TD. However, it should not be neglected that the delay can also be noninteger.
Erdinç Şahin
wiley   +1 more source

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

open access: yesOptimal Control Applications and Methods, EarlyView.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson   +2 more
wiley   +1 more source

On Riemann Integral Quasicontinuity

open access: yesReal Analysis Exchange, 2006
A function $f:\mathR ^n \to \mathR$ satisfies condition $(Q_{r,i}(x))$ (resp. ($Q_{r,s}(x))$, [$Q_{r,o}(x)$]) at a point $x$ if for each real $r > 0$ and for each set $U$ containing $x$ and belonging to Euclidean topology in $\mathR ^n$ (resp. to the strong density topology [to the ordinary density topology]) there is a regular domain $I$ such that ...
openaire   +3 more sources

Multipliers for the Generalized Riemann Integral

open access: yesJournal of Mathematical Analysis and Applications, 1994
The problem of the nature of multipliers is considered for a generalized Riemann integral which is coordinate free and integrates the divergence of all differentiable vector fields over bounded sets having finite perimeter. It is shown that the pointwise product of integrable and Lipschitz functions is always integrable.
Washek F. Pfeffer, J.W. Mortensen
openaire   +3 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

open access: yesOptimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja   +3 more
wiley   +1 more source

Algebras of Riemann Integrable Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1962
In the present paper we shall consider from two different standpoints the real Riemann integrable functions on a bounded closed interval I contained in En. Our results will be extendable to the complex case by standard arguments. (1) In ?1 we designate the real valued Riemann integrable functions by R(I). If R(I) is normed by Rflfl =sup.e lf(x) then it
openaire   +2 more sources

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