Wyniki wyszukiwania

1

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

The generalized equations of Riccati and their applications to the theory of linear differential equations

100%

Iwiński T.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS Introduction.............................................................................................................................. 3 1. Definition of the Riccati equation of the n-th order....................................................... 6 2. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations............................................................................................... 11 3. Relation between the solutions of R equations and the solutions of linear equations. Two methods of solving linear equations................................................................................................................................ 17 4. Applications of the method of decomposition into operator factors........................... 25 5. Elementarily decomposable linear differential equations (class E).......................... 39 6. Final remarks. Application of the method of decomposition into operator factors in the theory of partial linear differential equations....................................... 46 References................................................................................................................................ 49

2

On a certain class of linear differential equations

96%

Iwiński T.

Applicationes Mathematicae

|

1963-1964

|

tom 7

|

nr 1

59-76

3

General solutions of some types of Riccati equations

96%

Iwiński T.

Applicationes Mathematicae

|

1963-1964

|

tom 7

|

nr 4

407-417

4

On a class of differential linear equations which can be solved by algebraical means

42%

Iwiński T.

Colloquium Mathematicum

|

1964

|

tom 13

|

nr 2

269-271

5

On the n-th order Riccati equations of the second kind

36%

Iwiński T.

Colloquium Mathematicum

|

1963

|

tom 10

|

nr 1

173-182

Ograniczanie wyników

2 Applicationes Mathematicae

2 Colloquium Mathematicum

5 Iwiński T.

2 1964

2 1963

1 1961

The generalized equations of Riccati and their applications to the theory of linear differential equations

On a certain class of linear differential equations

General solutions of some types of Riccati equations

On a class of differential linear equations which can be solved by algebraical means

On the n-th order Riccati equations of the second kind