Infinite Interval Problems for Differential, Difference and Integral Equations

Inbunden, Engelska, 2001

AvR.P. Agarwal,Donal O'Regan

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1 389 kr

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This monograph is a cumulation mainly of the author's research over a period of more than 10 years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is the illustration of almost all results with examples. This book should turn out to be a stimulus to the further development of the theory.

Produktinformation

Utgivningsdatum2001-05-31
Mått170 x 244 x 24 mm
Vikt699 g
FormatInbunden
SpråkEngelska
Antal sidor341
Upplaga2001
FörlagKluwer Academic Publishers
ISBN9780792369615

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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).- 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.