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Infinite Interval Problems for Differential, Difference and Integral Equations

Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were appli...

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Bibliographic Details
Main Authors: Agarwal, R.P., O'Regan, Donal (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2001, 2001
Edition:1st ed. 2001
Subjects:
Difference Equations
Integral Equations
Functional Equations
Difference And Functional Equations
Operator Theory
Differential Equations
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 5.7. Urysohn Discrete Equations (5.1.9)
  • 5.8. Notes and Remarks
  • 5.9. References
  • 6 Equations in Banach Spaces
  • 6.1. Introduction
  • 6.2. Continuous Equations
  • 6.3. Discrete Equations
  • 6.4. Continuous and Discrete Equations
  • 6.5. Notes and Remarks
  • 6.6. References
  • 7 Multivalued Equations
  • 7.1. Introduction
  • 7.2. Existence Theory for (7.1.1)
  • 7.3. Solution Set of (7.1.2)
  • 7.4. Existence Theory for (7.1.3)
  • 7.5. Existence Theory for (7.1.4) and (7.1.5)
  • 7.6. Notes and Remarks
  • 7.7. References
  • 8 Equations on Time Scales
  • 8.1. Introduction
  • 8.2. Existence Theory for (8.1.1)
  • 8.3. Notes and Remarks
  • 8.4. References
  • 1 Second Order Boundary Value Problems
  • 1.1. Introduction
  • 1.2. Some Examples
  • 1.3. Preliminary Results
  • 1.4. Existence Theory for Problems (1.1.1) – (1.1.3)
  • 1.5. Existence Theory for Problems of Type (1.1.4)
  • 1.6. Existence Theory for Problems of Type (1.1.5)
  • 1.7. Existence Theory for Problems of Type (1.1.6)
  • 1.8. Existence Theory for Problems of Type (1.1.7)
  • 1.9. Existence Theory for Problems of Type (1.1.8)
  • 1.10. Existence Theory for Problems of Type (1.1.9)
  • 1.11. Existence Theory for Singular Problems of Type (1.1.1) – (1.1.3)
  • 1.12. Existence Theory for Problems (1.1.10) and (1.1.11)
  • 1.13. Notes and Remarks
  • 1.14. References
  • 2 Higher Order Boundary Value Problems
  • 2.1. Introduction
  • 2.2. Preliminary Results
  • 2.3. Existence Theory for Conjugate Type Problems
  • 2.4. Existence Theory for Right Focal Type Problems
  • 2.5. Notes and Remarks
  • 2.6. References
  • 3 Continuous Systems
  • 3.1. Introduction
  • 3.2. Linear Problems (3.1.3), (3.1.2)
  • 3.3. Nonlinear Problems (3.1.1), (3.1.2)
  • 3.4. Nonlinear Problems (3.1.4), (3.1.2)
  • 3.5. Nonlinear Problems (3.1.5), (3.1.6)
  • 3.6. Notes and Remarks
  • 3.7. References
  • 4 Integral Equations
  • 4.1. Introduction
  • 4.2. Existence Theory for (4.1.1) and (4.1.2)
  • 4.3. Existence Theory for (4.1.3) and (4.1.4)
  • 4.4. Existence Theory for (4.1.5)
  • 4.5. Existence Theory and Behaviour of Solutions to (4.1.6)
  • 4.6. Existence Theory for (4.1.7) and (4.1.8)
  • 4.7. Existence and Approximation for (4.1.9)
  • 4.8. Abstract Volterra Equations
  • 4.9. Periodic and Almost Periodic Solutions to (4.1.10)
  • 4.10. Periodic Solutions to (4.1.11)
  • 4.11. Notes and Remarks
  • 4.12. References
  • 5 Discrete Systems
  • 5.1. Introduction
  • 5.2. Linear Problems (5.1.3), (5.1.2)
  • 5.3. Nonlinear Problems (5.1.1), (5.1.2)
  • 5.4.Nonlinear Problems (5.1.4), (5.1.2)
  • 5.5. Second Order Problems (5.1.5), (5.1.7)
  • 5.6. Summary Discrete Systems (5.1.8)

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