the concept tight extens metric space introduc studi dress known dress theori equival theori inject hull metric space independ discuss isbell some year earlier dress show particular metric space tight extens maxim among tight extens previous work haihambo künzi construct tight extens quasimetr space paper continu investig present similar construct categori metric space nonexpans map

Collins Amburo Agyingi

Ultra-Quasi-Metrically Tight Extensions of Ultra-Quasi-Metric Spaces

studi class period general speci competit lotkavolterra system pure delay base continu theorem coincid degre theori lyapunov function some new suffici condit exist global attract posit period solut speci competit lotkavolterra system establish applic also examin some special case system which have been studi extens literatur

Ahmadjan Muhammadhaji

Rouzimaimaiti Mahemuti

Zhidong Teng

Periodic Solutions for <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2724395pt" id="M1" height="8.19251pt" version="1.1" viewBox="-0.0657574 -7.92007 8.95038 8.19251" width="8.95038pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g50-111" d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z"/></g></svg>-Species Lotka-Volterra Competitive Systems with Pure Delays

what role have theoret method initi develop mathemat physic play progress financi econom what relationship between financi econom econophys what relev classic ergod hypothesi modern portfolio theori this paper address question review etymolog histori classic ergod hypothesi 19th centuri statist mechan explan classic ergod provid establish connect fundament empir problem use nonexperiment data verifi theoret proposit modern portfolio theori the role ergod assumpt post ant quandari confront modern portfolio theori also examin

Geoffrey Poitras

John Heaney

Classical Ergodicity and Modern Portfolio Theory

the aim work extend interest result metriz cone metric space appear literatur paper appeal quasiuniform uniform prove quasicon metric space qausimetriz from our result deduc everi cone metric space metriz our approach more bitopolog topolog properti differ from one use paper mention abov affirm some result

M. Aphane

S. P. Moshokoa

On Quasimetrizability of Quasicone Metric Spaces

present two qualit result concern solut follow equat first result cover stochast asymptot stabil zero solut abov equat case while second one discuss uniform stochast bounded all solut case suffici condit stabil bounded solut consid equat obtain construct lyapunov function two exampl also discuss illustr effici obtain result

A. M. A. Abou-El-Ela

A. I. Sadek

A. M. Mahmoud

R. O. A. Taie

On the Stochastic Stability and Boundedness of Solutions for Stochastic Delay Differential Equation of the Second Order

consid point transit general shift dynam system discret least two element infinit prove countabl has most element then find transit point dynam system show point transit infinit countabl factor

Bahman Taherkhani

Fatemah Ayatollah Zadeh Shirazi

On Transitive Points in a Generalized Shift Dynamical System

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Chinese Journal of Mathematics