Author | Greguลก, Michal. author |
---|---|
Title | Third Order Linear Differential Equations [electronic resource] / by Michal Greguลก |
Imprint | Dordrecht : Springer Netherlands, 1987 |
Connect to | http://dx.doi.org/10.1007/978-94-009-3715-4 |
Descript | XV, 270 p. 1 illus. online resource |
I. Third Order Linear Homogeneous Differential Equations in Normal Form -- ยง1. Fundamental Properties of Solutions of the Third Order Linear Homogeneous Differential Equation -- ยง2. Oscillatory Properties of Solutions of the Differential Equation (a) -- ยง3. Asymptotic Properties of Solutions of the Differential Equations (a) and (b) -- ยง4. Boundary Value Problems -- II. Third Order Linear Homogeneous Differential Equations with Continuous Coefficients -- ยง5. Principal Properties of Solutions of Linear Homogeneous Third Order Differential Equations with Continuous Coefficients -- ยง6. Conditions for Disconjugateness, Non-oscillatoricity and Oscillatoricity of Solutions of the Differential Equation (A) -- ยง7. Comparison Theorems for Differential Equations of Type (A) and Their Applications -- III. Concluding Remarks -- 1. Special Forms of Third Order Differential Equations -- 2. Remark on Mutual Transformation of Solutions of Third Order Differential Equations -- IV. Applications of Third Order Linear Differential Equation Theory -- ยง8. Some Applications of Linear Third Order Differential Equation Theory to Non-linear Third Order Problems -- ยง9. Physical and Engineering Applications of Third Order Differential Equations -- References