Amazing Books
Temporary Blank

Saturday, December 15, 2012

Integral Equations and Generalized Ordinary Differential Expressions




TABLE  OF  CONTENTS
INTRODUCTION     ..........................................  x

CHAPTER   1
Introduction
Comparison   Theorems   for  Stieltjes   Integro-
Differential   Equations    ..................         4
Separation   Theorems    .....................         20
The  Green's  Function    ....................        25


CHAPTER  2
Introduction     ..................................  28
2.1.   Non-Oscillation    Criteria   for  Linear
Volterra-Stieltjes    Integral  Equations    ...      29
2.1A.  Applications   to  Differential   Equations    ..      52
2.1B.  Applications   to  Difference   Equations    ....      60
2.2.   Oscillation   Criteria    ....................        74
2.2A.  Applications   to  Differential   Equations    ..      80
2.2B.  Applications   to  Difference   Equations    ....      82
2.3.   An  Oscillation   Theorem  in  the  Nonlinear
Case    ....................................  87
Addenda    .......................................          113

CHAPTER  3
Introduction     ..................................         118
3.1.   Generalized   Derivatives     .................      120
3.2.   Generalized  Differential   Expressions  of
the  Second  Order    ........................       123
3.3.   The  Weyl  Classification     .................      129
3.4.   Applications     ............................       143
3.5.   Limit-Point   and  Limit-Circle   Criteria  ....    147
3.6.   J-Self-Adjointness   of  Generalized
Differential   Operators    ..................      156
3.7.   Dirichlet  Integrals  Associated  with
Generalized   Differential   Expressions    ....    180
3.8.   Dirichlet  Conditions   for  Three-Term
Recurrence  Relations    .....................     183
 

CHAPTER  4
Introduction    ...................................      197
4.1.   Sturm-Liouville   Difference  Equations  with
an  Indefinite  Weight-Function     ...........     199
4.2.   Sturm-Liouville   Differential   Equations
with  an  Indefinite  Weight-Function     ......    212
 

CHAPTER  5
Introduction
 

APPENDIX  I
Functions  of  Bounded  Variation    ..........    256
The  Riemann-Stieltjes   Integral    ..........    258
General  Theory  of  Volterra-Stieltjes
Integral  Equations    ......................      264
Construction   of  the  Green's  Function    ....    273  1.4.
The  Discrete  Spectrum  of  Generalized
Differential   Operators    ..................     226
The  Continuous   Spectrum  of  Generalized
Differential   Operators    ..................     242 


APPENDIX  II
II.1.     Compactness   in  L P  and  Other  Spaces    ..
APPENDIX  III
III.l.   Eigenvalues   of  Generalized   Differential
Equations    ............................
III.2.   Linear  Operators  in  a  Hilbert  Space   ..
III.3.   Linear  Operators  in  a  Krein  Space   ....
III.4.   Formally  Self-Adjoint   Even  Order
Differential   Equations  with  an
Indefinite  Weight-Function     ...........
BIBLIOGRAPHY    .........................................          309
Subject  Index   ........................................          318 


Handbook of Integral Equations
Inequalities for Differential and Integral Equations
Integral equation - Wikipedia, the free encyclopedia
Integral Equation -- from Wolfram MathWorld
Other Mathematics Books
Download

No comments:

Post a Comment

Related Posts with Thumbnails
There was an error in this gadget

Put Your Ads Here!
There was an error in this gadget