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Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients

100%

Andres J., Turský T.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1996

tom 16

nr 1

75-89

Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ODEs with constant coefficients are obtained, provided the associated characteristic polynomial is (asymptotically) stable. Assuming, additionally, the stability of the so called "shifted polynomials" (see below) to the characteristic one, the estimates can be still improved.

Partially dissipative periodic processes

81%

Andres J., Górniewicz L., Lewicka M.

Banach Center Publications

1996

tom 35

nr 1

109-118

Further extension of the Levinson transformation theory is performed for partially dissipative periodic processes via the fixed point index. Thus, for example, the periodic problem for differential inclusions can be treated by means of the multivalued Poincaré translation operator. In a certain case, the well-known Ważewski principle can also be generalized in this way, because no transversality is required on the boundary.

Ograniczanie wyników

1 Banach Center Publications

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Andres J.

1 Górniewicz L.

1 Lewicka M.

1 Turský T.

2 1996

Wyniki wyszukiwania

Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients

Partially dissipative periodic processes