Table of Contents
I – NONLINEAR BOUNDARY VALUE PROBLEMS: EXISTENCE AND MULTIPLICITY RESULTS
Chapter 1. High Order Periodic Problems
Chapter 2. New Trends on Lidstone Problems
Chapter 3. Multiplicity of Solutions
Chapter 4. High Order Periodic Impulsive Problems
II – FUNCTIONAL BOUNDARY VALUE PROBLEMS
Chapter 5. High Order Problems with Functional Boundary Conditions
Chapter 6. Generalized f−Laplacian Equation with Functional Boundary Conditions
Chapter 7. Functional Boundary
“This very interesting book is devoted to the study of higher order boundary value problems. The main tool utilized throughout the volume is the method of upper and lower solutions. Of particular interest is the fact that in many cases the authors give an explicit construction of the upper and lower solution. The authors illustrate how this location tool can be utilized to gain qualitative information regarding the solutions: existence, multiplicity, monotonicity. Another nice feature of the book is that the methodology is applied also to real world phenomena: the London Millenium bridge and the periodic oscillations of the axis of a satellite. Overall the book is fairly easy to read and would be helpful for graduate students and young researchers willing to learn more on this method.” Gennaro Infante, Ph.D., Associate Professor, Department of Mathematics and Computer Science, University of Calabria, Italy
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These contents have of wide scope amongst researchers in various areas like Mathematics, Engineering and Finance as they offer applications to theoretical problems as well as techniques to build and define lower and upper solutions for higher order problems. It is also very useful for students from undergraduate to graduate level in those fields as it provides arguments based on elementary and basic concepts, without “deep mathematics tools” and includes examples, where lower and upper solutions are properly defined and applied.