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This subtopic studies asymptotic theory for ordinary differential equations, analyzing limiting behavior, expansions, and perturbative approximations.
34E05 studies asymptotic expansions of solutions to ordinary differential equations in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.
34E10 studies perturbations, asymptotics for ordinary differential equations in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.
34E13 studies multiple scale methods for ordinary differential equations in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.
34E15 studies singular perturbations, general theory for ordinary differential equations in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.
34E17 studies canard solutions to ordinary differential equations in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.
34E18 studies methods of nonstandard analysis for ordinary differential equations in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.
34E20 studies singular perturbations, turning point theory, wkb methods in asymptotic theory. It studies asymptotic approximations for differential equations, often via perturbation, matching, and limiting methods.
Used to approximate solutions in singularly perturbed or large-parameter regimes.