View source for Book:V. Lakshmikantham/Dynamic Systems on Measure Chains

{{Book|Dynamic Systems on Measure Chains||||V. Lakshmikantham|author2=S. Sivasundaram|author3=B. Kaymakcalan}}

===Contents===
:Preface
:Chapter 1
::1.0 Introduction
::1.1 Measure chains and time scales
::1.2 Differentiation
::1.3 Mean value theorem and consequences
::1.4 Integral and antiderivative
::1.5 Notes
:Chapter 2
::2.0 Introduction
::2.1 Local existence and uniqueness
::2.2 Dynamic inequalities
::2.3 Existence of extremal solutions
::2.4 Comparison results
::2.5 Linear variation of parameters
::2.6 Continuous dependence
::2.7 Nonlinear variation of parameters
::2.8 Global existence and stability
::2.9 Notes
:Chapter 3
::3.0 Introduction
::3.1 Comparison theorems
::3.2 Stability criteria
::3.3 A technique in stability theory
::3.4 Stability of conditionally invariant sets
::3.5 Stability in terms of two measures
::3.6 Vector Lyapunov functions and practical stability
::3.7 Notes
:Chapter 4
::4.0 Introduction
::4.1 Monotone iterative technique
::4.2 Method of quasilinearization
::4.3 Monotone flows and stationary points
::4.4 Invariant manifolds
::4.5 Practical stability of large-scale uncertain dynamical systems
::4.6 Boundary value problems
::4.7 Sturmian theory
::4.8 Convexity of solutions relative to the initial data
::4.9 Invariance principle
::4.10 Notes
:References
:Subject Index

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