annihilator method

plural annihilator methods

1. uncountableusuallymathematical analysisA procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations.

   The annihilator method is just one convenient method to select the form of solution to try when applying the method of undetermined coefficients.

   1997, Robert E. O'Malley, Jr, Thinking about Ordinary Differential Equations, Cambridge University Press, page 58

   3 more examples

   Although the annihilator method is very efficient when applicable, it is limited to equations whose right members R have a constant-coefficient annihilator.

   1969, Tom Apostol, Calculus, Volume 2: Multi-variable calculus and linear algebra with applications to differential equations and probability, page 166

   Sometimes, instead of using the variation of parameters technique, it is easier to use the so-called annihilator method (also called the method of undetermined coefficients). We now discuss this annihilator method for solving equations of the form (3.48) y#123;#92;Delta#92;Delta#125;#43;#92;alphay#92;Delta#43;#92;betay#61;f(t), where #92;alpha and #92;beta are constants and f is a function that can be annihilated as defined below.

   2001, Martin Bohner, Allan Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Springer, page 116

   Many ways exist to solve the particular solution. These include the method of undetermined coefficients, variation of parameters, annihilator methods, Laplace transform methods, and numerical methods.

   2012, S. Graham Kelly, Mechanical Vibrations: Theory and Applications, Cengage Learning, page 206