Integrability of blow-up solutions to some non-linear differential equations.
Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind.
Integral representation of the solutions to Heun's biconfluent equation.
Integrated density of states of self-similar Sturm–Liouville operators and holomorphic dynamics in higher dimension
Invariant transformations for the Sturm--Liouville operator.
Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems.
Inverse nodal problems for the Sturm-Liouville differential operators on a star-type graph.
Inverse problems on star-type graphs: differential operators of different orders on different edges
We study inverse spectral problems for ordinary differential equations on compact star-type graphs when differential equations have different orders on different edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function (m-function) for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.
Inverse spectral problems for nonlinear Sturm-Liouville problems.
Involutions and iterates of central dispersions
Irregular boundary value problems for ordinary differential equations
Irregular Sampling and the Inverse Spectral Problem.
Iterative Einschliessungen von Lösungen nichtlinearer Differentialgleichungen durch Newton-ähnliche Iterationsverfahren
In der vorliegenden Arbeit untersuchen wir monoton einschliessende Newton-ähnliche Iterationsverfahren zur näherungsweisen Lösung verschiedener Klassen vonnichtlinearen Differentialgleichungen. Die behandelten Methoden sind auch für nichtkonvexe Nichtlinearitäten anwendbar. Ferner konstruieren wir einschliessende Startnäherungen für diese Verfahren, so dass wir die Existenz der Lösungen der gegebenen Differentialgleichungen sichern können. Die Konvergenz der Verfahren wird auch für den Fall bewiesen,...
Iterative solution of negative exponent Emden-Fowler problems.
Iterative solutions of singular boundary value problems of third-order differential equation.