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The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.

Higher-order differential systems and a regularization operator

Pavel Calábek (1999)

Mathematica Bohemica

Sufficient conditions for the existence of solutions to boundary value problems with a Caratheodory right hand side for ordinary differential systems are established by means of continuous approximations.

Higher-order linear differential equations with solutions having a prescribed sequence of zeros and lying in the Dirichlet space

Li-Peng Xiao (2015)

Annales Polonici Mathematici

The aim of this paper is to consider the following three problems:i (1) for a given uniformly q-separated sequence satisfying certain conditions, find a coefficient function A(z) analytic in the unit disc such that f”’ + A(z)f = 0 possesses a solution having zeros precisely at the points of this sequence; (2) find necessary and sufficient conditions for the differential equation $f^{(k)} + A_{k - 1} f^{(k - 1)} + \dots + A ₁ f^{'} + A ₀ f = 0$ (*) in the unit disc to be Blaschke-oscillatory; (3) find sufficient conditions on the analytic coefficients of the...

Higher-order linear matrix descriptor differential equations of Apostol-Kolodner type.

Kalogeropoulos, Grigoris I., Karageorgos, Athanasios D., Pantelous, Athanasios A. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Higher-order Melnikov functions for single-DOF mechanical oscillators: theoretical treatment and applications.

Lenci, Stefano, Rega, Giuseppe (2004)

Mathematical Problems in Engineering

High-order methods for semilinear singularly perturbed boundary value problems.

Radeka, Ivana, Herceg, Dragoslav (2003)

Novi Sad Journal of Mathematics

Hille-Kneser-type criteria for second-order dynamic equations on time scales.

Erbe, Lynn, Peterson, Allan C., Saker, Samir H. (2006)

Advances in Difference Equations [electronic only]

Hille-Wintner type comparison kriteria for half-linear second order differential equations

Ondřej Došlý, Zuzana Pátíková (2006)

Archivum Mathematicum

We establish Hille-Wintner type comparison criteria for the half-linear second order differential equation ${(r (t) Φ (x^{'}))}^{'} + c (t) Φ (x) = 0, Φ (x) = {| x |}^{p - 2} x, p > 1,$ where this equation is viewed as a perturbation of another equation of the same form.

Hille-Wintner type oscillation criteria for linear ordinary differential equations of second order

Shlomo Breuer, David Gottlieb (1975)

Annales Polonici Mathematici

Hille-Yosida theory in convenient analysis.

Josef Teichmann (2002)

Revista Matemática Complutense

A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.

We give estimations for the degree of separatrices of algebraic foliations in $CP (2)$ .

Holomorphic foliations in certain holomorphically convex domains of $ℂ^{2}$

Marco Brunella, Paulo Sad (1995)

Bulletin de la Société Mathématique de France

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Displaying 41 – 60 of 122

Higher Order Methods for a Singularly Perturbed Problem.

Higher order multi-point boundary value problems with sign-changing nonlinearities and nonhomogeneous boundary conditions.

Higher order Poincaré-Pontryagin functions and iterated path integrals

Higher order singular perturbation method for linear differential equations in Banach spaces

Higher-index differential-algebraic equations: analysis and numerical treatment

Higher-order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach.

Higher-order differential equations represented by connections on prolongations of a fibered manifold.