Third Order Linear Differential Equations

1. Front Matter

   Pages i-xv

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2. Third Order Linear Homogeneous Differential Equations in Normal Form

   • Michal Greguš

   Pages 1-189

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3. Third Order Linear Homogeneous Differential Equations with Continuous Coefficients

   • Michal Greguš

   Pages 190-221

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4. Concluding Remarks

   • Michal Greguš

   Pages 222-226

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5. Applications of Third Order Linear Differential Equation Theory

   • Michal Greguš

   Pages 227-258

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6. Back Matter

   Pages 259-270

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Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Gad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. How­ ever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the stI11fture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisci­ plines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classifi~ation schemes.

• differential equation
• integral
• integral equation
• ordinary differential equation

`The present book will be of value to anyone wanting to contribute to the field in itself or wishing to apply the results to specific problems.'
Monatshefte für Mathematik.

• Faculty of Mathematics and Physics, Comenius University, Bratislava, Czechoslovakia

  Michal Greguš

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