Background
Kisielewicz, MichaL was born on June 22, 1939 in Lwów, Poland. Son of Franciszek and Franciszka (Holub) Kisielewicz.
(Many phenomena in mathematical economics, mathematical bi...)
Many phenomena in mathematical economics, mathematical biology, physical mathematics and engineering may be modelled by a system of functional-differential equations where the past exerts its influence in a significant manner upon the future. They lead, in connection with some optimal control problems, to functional-differential inclusions. The present book is devoted to the investigation of the properties of functional-differential inclusions of the form [x dot](t) [is an element of] F(t,[x subscript t],[x dot subscript t]). Besides the existence theorems, the book is concerned with basic problems of optimal control theory, such as viability, controllability and existence bf optimal trajectories for the systems described by the functional-differential inclusions of the above type. Its main topics are: - continuities and measurability concepts of set-valued maps; - measurable and continuous selection theorems; - some properties of Aumann intergrable set-valued functions; - subtrajectory and trajectory integrals of "sigma"-selectionable set-valued functions; - relaxation and viability theorems; - existence theorems for neutral functional-differential inclusions; - compactness and upper semicontinuity of the set solutions; - controllability theorems; - some optimal problems for the systems described by neutral functional-differential inclusions.
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(Book by Kisielewicz, Michal)
Book by Kisielewicz, Michal
http://www.amazon.com/Differential-Inclusions-Optimal-Mathematics-Applications/dp/0792306759%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook0b-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D0792306759?SubscriptionId=AKIAJRRWTH346WSPOAFQ&tag=prabook0b-20&linkCode=sp1&camp=2025&creative=165953&SubscriptionId=AKIAJRRWTH346WSPOAFQ&tag=prabook0b-20&linkCode=sp1&camp=2025&creative=165953
Kisielewicz, MichaL was born on June 22, 1939 in Lwów, Poland. Son of Franciszek and Franciszka (Holub) Kisielewicz.
Master of Science in Mathematics, University A.M., Poznan, Poland, 1965. Doctor of Philosophy in Mathematics, University A.M., Poznan, Poland, 1968. PhScD in Mathematics, University A.M., Poznan, Poland, 1971.
Teacher mathematics Higher Schools, Zielona Gora, Poland, 1959-1966. Assistant mathematics Engineering Higher School, 1966-1968, associate professor mathematics, 1968-1978, extrordinary professor mathematics, 1978-1984, professor mathematics, since 1984, rector, 1981-1987, dean faculty applied mathematics, 1987-1993.
(Many phenomena in mathematical economics, mathematical bi...)
(Book by Kisielewicz, Michal)
President Polskie Towarzystwo Matematyczne Distr., Zielona Gora, 1973-1977, Lubskie Towarzystwo Naukowe, Zielona Gora, 1977-1984. Member American Mathematics Society, Polskie Towarzystwo Matemat.
Married Teresa Latwinski, June 22, 1963. Children: Iwona, Andrzej.