Author: Viktor Grigorʹevich Osmolovskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821897744
Category : Mathematics
Languages : en
Pages : 126
Book Description
This book presents results onboundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. an analog of the Weyl decomposition is proved.
Linear and Nonlinear Perturbations of the Operator Div
Author: Viktor Grigorʹevich Osmolovskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821897744
Category : Mathematics
Languages : en
Pages : 126
Book Description
This book presents results onboundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. an analog of the Weyl decomposition is proved.
Publisher: American Mathematical Soc.
ISBN: 9780821897744
Category : Mathematics
Languages : en
Pages : 126
Book Description
This book presents results onboundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. an analog of the Weyl decomposition is proved.
Linear and Nonlinear Perturbation of the Operator Div
Author: V. G. Osmolovskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 104
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 104
Book Description
Linear and Nonlinear Perturbations of the Operator Div
Author: Viktor Grigorʹevich Osmolovskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821805862
Category : Mathematics
Languages : en
Pages : 104
Book Description
The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation $F(\dot y,y,x)=0$. Taking as linearization the first order operator $Lu=C_{ij}u_{x_j}^i+C_iu^i$, one can, under certain conditions, regard the operator $L$ as a compact perturbation of the operator div. This book presents results on boundary-value problems for $L$ and the theory of nonlinear perturbations of $L$. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator $L$. An analog of the Weyl decomposition is proved. The book also contains a local description of the set of all solutions (located in a small neighborhood of a known solution) to the boundary-value problems for the nonlinear equation $F(\dot y, y, x) = 0$ for which $L$ is a linearization. A classification of sets of all solutions to various boundary-value problems for the nonlinear equation $F(\dot y, y, x) = 0$ is given. The results are illustrated by various applications in geometry, the calculus of variations, physics, and continuum mechanics.
Publisher: American Mathematical Soc.
ISBN: 9780821805862
Category : Mathematics
Languages : en
Pages : 104
Book Description
The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation $F(\dot y,y,x)=0$. Taking as linearization the first order operator $Lu=C_{ij}u_{x_j}^i+C_iu^i$, one can, under certain conditions, regard the operator $L$ as a compact perturbation of the operator div. This book presents results on boundary-value problems for $L$ and the theory of nonlinear perturbations of $L$. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator $L$. An analog of the Weyl decomposition is proved. The book also contains a local description of the set of all solutions (located in a small neighborhood of a known solution) to the boundary-value problems for the nonlinear equation $F(\dot y, y, x) = 0$ for which $L$ is a linearization. A classification of sets of all solutions to various boundary-value problems for the nonlinear equation $F(\dot y, y, x) = 0$ is given. The results are illustrated by various applications in geometry, the calculus of variations, physics, and continuum mechanics.
Linear and Nonlinear Perturbations of the Operator Operatorname{div}
Author: Viktor Grigorʹevich Osmolovskiĭ
Publisher:
ISBN: 9781470445751
Category : Boundary value problems
Languages : en
Pages : 121
Book Description
The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation F(\dot y, y, x)=0. Taking as linearization the first order operator Lu=C_{ij}u_{x_j}^i+C_iu^i, one can, under certain conditions, regard the operator L as a compact perturbation of the operator div. This book presents results on boundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. An a.
Publisher:
ISBN: 9781470445751
Category : Boundary value problems
Languages : en
Pages : 121
Book Description
The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation F(\dot y, y, x)=0. Taking as linearization the first order operator Lu=C_{ij}u_{x_j}^i+C_iu^i, one can, under certain conditions, regard the operator L as a compact perturbation of the operator div. This book presents results on boundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. An a.
U.S. Government Research Reports
Author:
Publisher:
ISBN:
Category : Industrial arts
Languages : en
Pages : 1118
Book Description
Publisher:
ISBN:
Category : Industrial arts
Languages : en
Pages : 1118
Book Description
The Bulletin of Mathematics Books
Author:
Publisher:
ISBN:
Category : Computer software
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Computer software
Languages : en
Pages :
Book Description
Technical Abstract Bulletin
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 684
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 684
Book Description
Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
Author: Santanu Saha Ray
Publisher: CRC Press
ISBN: 1351682210
Category : Mathematics
Languages : en
Pages : 251
Book Description
The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.
Publisher: CRC Press
ISBN: 1351682210
Category : Mathematics
Languages : en
Pages : 251
Book Description
The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 732
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 732
Book Description
Abstracts of Papers Presented to the American Mathematical Society
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 658
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 658
Book Description