Theory of Integro Differential Equations by V. Lakshmikantham and M. Rama Mohana Rao

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Differential Equations eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Theory of Integro Differential Equations written by V. Lakshmikantham and M. Rama Mohana Rao cover the following topics.

1. Basic theory
1.0 Introduction
1.1 Local and Global Existence
1.2 Integro differential Inequalities
1.3 Existence of Extermal Solutions
1.4 Comparison Results
1.5 Convergence of Successive Approximations
1.6 Continuous Dependence
1.7 Linear Variation of Parameters
1.8 Nonlinear Variation of Parameters
1.9 Monotone Iterative Technique
1.10 Interval Analytic Method
1.11 Notes and Comments

2. Linear Analysis
2.0 Introduction
2.1 Basic Properties of Linear Systems
2.2 Stability of Linear Convolution Systems
2.3 tability Criteria for General Linear Systems
2.4 Stability by Method of Reduction
2.5 Stability in Variation
2.6 Lipschitz Stability
2.7 Asympotic Equivalence
2.8 Ultimate Behaviour of Solutions
2.9 Difference Equations
2.10 Impulsive Integro differential Systems
2.11 Periodic Solutions
2.12 Notes and Comments

3. Lyapunov Stability
3.0 Introduction
3.1 Method of Lyapunov Functionals
3.2 Equations with Unbounded Delay
3.3 Perturbed Systems
3.4 Method of Lyapunov Functions
3.5 Lyapunov Functions on Product Spaces
3.6 Impulsive Integro Differential Equations
3.7 Impulsive Integro Differential Equations(continued)
3.8 Notes and Comments

4. Equations in Abstract Spaces
4.0 Intoduction
4.1 Existence and uniqueness
4.2 Existence of Maximal and Minimal Solutions
4.3 Well Posedness of Linear Equations
4.4 Semigroups and Resolved Operators
4.5 Evolution Operators and Resolvents
4.6 Asymtotic Behaviour and Perturbations
4.7 Stability of Solutions
4.8 Notes and Comments

5.Applications
5.0 Intoduction
5.1 Biological Population
5.2 Grazing Systems
5.3 Wave Propagation
5.4 Nuclear Reactors
5.5 Viscoelasticity
5.6 Large Scale Systems
5.7 Notes and Comments

References

Index

Start Now
Download Similar Books

Math Books of Differential Equations

-->

More Free Books

Related Book Categories:-

Integral Equantions

Differential Equations

Special Functions

Other Famous Books Topics:-

• Abstract Algebra
• Calculus
• Differential Equations
• Engineering Mathematics
• Linear Algebra
• Math Magic
• Real Analysis

Other Topics:-

• Basic Algebra
• Basic Mathematics
• Math History
• Math Formulas
• Mathematical Methods
• Number Theory
• Bio Mathematics
• Business Mathematics
• Probability & Statistics

WORKSHEETS (Solved):-

• Matrix
• Logarithm
• Trigonometric Identities
• Trigonometry
• Integration

SHORTCUT TRICKS (Division):-
Divison related shortcut Tricks

• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick
• Divisible by 7 Shortcut trick
• Divisible by 8 Shortcut trick
• Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick

SHORTCUT TRICKS (Prime Number):-
Prime Number related shortcut Tricks

• Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
• Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
• Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?