Integrating factor
The problem of integrating factor for ordinary differential equations is investigated. Conditions are given which guarantee that each solution of is also a solution of where and .
Intégration algorithmique des fonctions élémentairement transcendantes sur une courbe algébrique
On considère le problème de déterminer les solutions d’une équation différentielle ordinaire, dite de Risch sur une courbe algébrique. En fait une généralisation assez évidente de la méthode de Risch suffit mais elle nous permet de généraliser son algorithme d’intégration à toute extension élémentairement transcendante d’une extension algébrique des fonctions rationnelles.
Intégration de l'équation d'Euler par les lignes de courbure de l'hyperboloïde réglé
Integration der Gleichung ..............durch Bessel'sche Functionen
Integration der linearen Differentialgleichung ..................... in welcher n eine ganze positive Zahl und A, B, C constante Zahlen bezeichnen, mittelst bestimmter Integrale
Intégration d'un système d'équations aux différentielles totales
Integration einiger linearen Differentialgleichungen.
Intégration, sous forme finie, de trois espèces d'équations différentielles linéaires, à coefficients variables.
Intégration, sous forme finie, d'une quatrième espèce d'équations différentielles linéaires, à coefficients variables
Internal modes of solitons and near-integrable highly-dispersive nonlinear systems.
Internal properness and stability in linear systems
Interval criteria for oscillation of second order self-adjoint matrix differential systems
By employing the matrix Riccati technique and the integral averaging technique, new interval oscillation criteria are established for second-order matrix differential systems of the form [P(t)Y']' + Q(t)Y = 0.
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities.
Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
By using the generalized Riccati technique and the averaging technique, we establish new oscillation criteria for the second order self-adjoint matrix differential system with damping (P(t)Y'(t))' + r(t)P(t)Y'(t) + Q(t)Y(t) = 0, t ≥ t₀. The criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t₀,∞), rather than on the whole half-line. In particular, our results complement a number of...
Invariant foliations and stability in critical cases.
Invariant manifolds of a differentiable vector field
Invariant transformations for the Sturm--Liouville operator.
Inverse nodal problems for the Sturm-Liouville differential operators on a star-type graph.
Inverse problems connected with periods of oscillations described by ẍ + g(x) = 0
Inverse problems in the theory of analytic planar vector fields.
In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals.Likewise, we study the problem of determining a stationary complex analytic vector field Γ from a given, finite subset of terms in the formal power series (...).