1988 parker sochacki announc theorem which prove picard iter proper modifi generat taylor seri solut ani ordinari differenti equat ode polynomi generat paper present analog theorem partial differenti equat pdes polynomi generat analyt initi condit sinc domain solut pde subset identifi one compon domain achiev analog odes the generat pde must polynomi autonom respect compon partial deriv respect compon can appear domain generat the initi condit must given design compon zero must analyt nondesign compon the power seri solut pde whose exist guarante cauchi theorem can generat arbitrari degre picard iter ode case condit can met broad class pdes through polynomi project

G. Edgar Parker

James S. Sochacki

A Picard-Maclaurin theorem for initial value PDEs

prove exist global compact attractor differenti inclus obtain some result concern continu upper semicontinu attractor approxim perturb inclus applicat given model region econom growth

Alexei V. Kapustian

José Valero

Attractors of multivalued semiflows generated by differential inclusions and their approximations

the aim paper show applic recent introduc bound semigroup theori implicit degener evolut equat the most interest featur approach it applic problem nonclos oper

J. Banasiak

<mml:math alttext="$B$" id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>B</mml:mi></mml:math>-bounded semigroups and implicit evolution equations

basi converg prove averag result nonlinear abstract parabol equat oper coeffici which stationari stochast process

G.  Bruno

A.  Pankov

T.  Pankova

Time averaging for random nonlinear abstract parabolic equations

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Abstract and Applied Analysis publishes research with an emphasis on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimisation theory, and control theory.

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Chief Editor, Dr Wong, is an associate professor at Nanyang Technological University, Singapore. Her research interests include differential equations, difference equations, integral equations, and numerical mathematics.

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Abstract and Applied Analysis