Inversion of multifunctions and differential inclusions
Investigation of stability on nonlinear oscilations with one degree of freedom
Involutions and iterates of central dispersions
Involutions of real intervals
This paper shows a simple construction of continuous involutions of real intervals in terms of continuous even functions. We also study smooth involutions defined by symmetric equations. Finally, we review some applications, in particular a characterization of isochronous potentials by means of smooth involutions.
Irrationality of the roots of the Yablonskii-Vorob'ev polynomials and relations between them.
Irregular boundary value problems for ordinary differential equations
Irregular Sampling and the Inverse Spectral Problem.
Isolated periodic minima are unstable
Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space
We show that if the set of all bounded strongly continuous cosine families on a Banach space X is treated as a metric space under the metric of the uniform convergence associated with the operator norm on the space 𝓛(X) of all bounded linear operators on X, then the isolated points of this set are precisely the scalar cosine families. By definition, a scalar cosine family is a cosine family whose members are all scalar multiples of the identity operator. We also show that if the sets of all bounded...
Isospectral Sets for AKNS Systems on the Unit Interval with Generalized Periodic Boundary Conditions.
Iterated order of solutions of certain linear differential equations with entire coefficients.
Iterated order of solutions of linear differential equations with entire coefficients.
Iterated oscillation criteria for delay dynamic equations of first order.
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 methods for generalized von Foerster equations with functional dependence.
Iterative solution of negative exponent Emden-Fowler problems.
Iterative Solutions of Nonlinear Initial Value Differential Equations in Chebyshev Series Using Lie Series.
Iterative solutions of singular boundary value problems of third-order differential equation.
IVPs for singular multi-term fractional differential equations with multiple base points and applications
The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional...