Over the evolution of fundamental ideas of fracture mechanics.
Raducanu, Razvan (2005)
APPS. Applied Sciences
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Displaying similar documents to “Evolution of Eresmann's jet theory”
Over the evolution of fundamental ideas of fracture mechanics.
On the anelastic evolution of second-grade materials.
Marcelo Epstein (1999)
Extracta Mathematicae
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Local attractivity in nonautonomous semilinear evolution equations
Joël Blot, Constantin Buşe, Philippe Cieutat (2014)
Nonautonomous Dynamical Systems
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We study the local attractivity of mild solutions of equations in the form u’(t) = A(t)u(t) + f (t, u(t)), where A(t) are (possible) unbounded linear operators in a Banach space and where f is a (possible) nonlinear mapping. Under conditions of exponential stability of the linear part, we establish the local attractivity of various kinds of mild solutions. To obtain these results we provide several results on the Nemytskii operators on the space of the functions which converge to zero...
On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
Soumia Saïdi, Mustapha Fateh Yarou (2015)
Annales Polonici Mathematici
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On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
Connections on higher order principal prolongations
Vašík, Petr
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Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.
Natural operations with second order jets
Kolář, Ivan, Vosmanská, Gabriela
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On iteration of higher order jets and prolongation of connections
Miroslav Doupovec, Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.
A characterization of evolution operators
Naoki Tanaka (2001)
Studia Mathematica
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A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
On the geometrization of dynamics of special class of rheonomic holonomic systems
L. Rusov (1965)
Matematički Vesnik
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On the higher order connections
Bohumil Cenkl (1967)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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On prolongation of higher order connections
Miroslav Doupovec, Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.
Existence and relaxation results for nonlinear second order evolution inclusions
Stanisław Migórski (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.