A new perturbation technique for differential equations with small parameters
A new perturbation technique for differential equations with small parameters
Ordinary linear differential equations containing small parameter <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="epsilon"> <mml:semantics> <mml:mi>ϵ</mml:mi> <mml:annotation encoding="application/x-tex">\epsilon</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are investigated in regard to the existence of solutions in power series of the parameter. A new perturbation technique is developed which yields solutions more convenient for computation than comparable solutions …