Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations

1. Front Matter

   Pages ii-ix

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2. Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results

   • C. De Coster, P. Habets

   Pages 1-78

3. Boundary Value Problems for Quasilinear Second Order Differential Equations

   • R. Manásevich, K. Schmitt

   Pages 79-119

4. Bounded Solutions of Nonlinear Ordinary Differential Equations

   • J. Mawhin

   Pages 121-147

5. Hyperbolic Structures in ODE’s and Their Discretization with an Appendix on Differentiability Properties of the Inversion Operator

   • B. M. Garay

   Pages 149-173

6. The Conley Index and Rigorous Numerics

   • M. Mrozek

   Pages 175-195

7. On Geometric Detection of Periodic Solutions and Chaos

   • R. Srzednicki

   Pages 197-209

8. Back Matter

   Pages 211-211

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The area covered by this volume represents a broad choice of some interesting research topics in the field of dynamical systems and applications of nonlinear analysis to ordinary and partial differential equations. The contributed papers, written by well known specialists, make this volume a useful tool both for the experts (who can find recent and new results) and for those who are interested in starting a research work in one of these topics (who can find some updated and carefully presented papers on the state of the art of the corresponding subject).

• Boundary value problem
• calculus
• differential equation
• dynamical systems
• ordinary differential equation
• partial differential equation

• University of Udine, Italy

  F. Zanolin

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