This volume presents a collection of problems and exercises, together with guidelines and worked solutions, of a wide range of commonly occurring differential and integral equations. The various chapters deal with the classical type of differential equations of first and higher order; problems relating to existence and uniqueness theorems; linear differential equations; the method of the Laplace transform; integral and integro-differential equations; numerical and approximation methods; and first order partial differential equations.
I. Problems.- 1. Differential Equations Solvable by Quadrature.- 2. Existence and Uniqueness Theorems.- 3. Linear Differential Equations.- 4. The Method of Laplace Transforms.- 5. Integral Equations.- 6. Numerical and Approximate Methods of Solving Differential and Integral Equation.- 7. First Order Partial Differential Equations.- 8. Miscellaneous Problems.- II. Solutions.- 1. Differential Equations Solvable by. Quadrature.- 2. Existence and Uniqueness Theorems.- 3. Linear Differential Equations.- 4. The Method of Laplace Transforms.- 5. Integral Equations.- 6. Numerical and Approximate Methods of Solving Differential and Integral Equation.- 7. First Order Partial Differential Equations.
'This excellent and invaluable problem book can be recommended to teachers, students (both graduate and undergraduate) and also interested in differential and integral equations.' Acta Science Mathematics, 59 (1994)
Yu.G. Borisovich, N.M. Bliznyakov, T.N. Fomenko, Y.A. Izrailevich, Yu G. Borisovich, N. M. Bliznyakov, Yu. G. Borisovich, T. N. Fomenko, Y. A. Izrailevich
Yu.G. Borisovich, N.M. Bliznyakov, T.N. Fomenko, Y.A. Izrailevich, Yu G. Borisovich, N. M. Bliznyakov, Yu. G. Borisovich, T. N. Fomenko, Y. A. Izrailevich