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Displaying 141 – 160 of 452

Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms

Thomas Lorenz (2008)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarly to quasidifferential equations of Panasyuk, the so-called mutational equations of Aubin provide a generalization of ordinary differential equations to locally compact metric spaces. Here we present their extension to a nonempty set with a possibly nonsymmetric distance. In spite of lacking any linear structures, a distribution-like approach leads to so-called right-hand forward solutions. These extensions are mainly motivated by compact subsets of the Euclidean space...

Evolution semigroups for nonautonomous Cauchy problems.

Nickel, Gregor (1997)

Abstract and Applied Analysis

Examples of stable $C_{0}$ -semigroups

Werner J. Ricker (1992)

Acta Universitatis Carolinae. Mathematica et Physica

Existence of almost automorphic solutions to some classes of nonautonomous higher-order differential equations.

Diagana, T. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.

Diagana, Toka (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces.

Dong, Qixiang, Li, Gang (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces.

Xue, Xingmei (2005)

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

Existence of solutions in the $α$ -norm for partial differential equations of neutral type with finite delay.

Ezzinbi, Khalil, Megdiche, Hatem, Rebey, Amor (2010)

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

Existence of solutions to neutral differential equations with deviated argument.

Muslim, M., Bahuguna, D. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence of solutions to quasilinear functional differential equations.

Abbas, Syed, Bahuguna, Dhirendra (2009)

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

Existence of the fundamental solution of a second order evolution equation

Jan Bochenek (1997)

Annales Polonici Mathematici

We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence $A_{n} (t)$ of bounded operators.

Exponential and polynomial dichotomies of operator semigroups on Banach spaces

Roland Schnaubelt (2006)

Studia Mathematica

Let A generate a C₀-semigroup T(·) on a Banach space X such that the resolvent R(iτ,A) exists and is uniformly bounded for τ ∈ ℝ. We show that there exists a closed, possibly unbounded projection P on X commuting with T(t). Moreover, T(t)x decays exponentially as t → ∞ for x in the range of P and T(t)x exists and decays exponentially as t → -∞ for x in the kernel of P. The domain of P depends on the Fourier type of X. If R(iτ,A) is only polynomially bounded, one obtains a similar result with polynomial...

Exponential dichotomy for evolution families on the real line.

Sasu, Adina Luminiţa (2006)

Abstract and Applied Analysis

Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space

Michael Gil' (2023)

Czechoslovak Mathematical Journal

We consider the equation $d y (t) / d t = (A + B (t)) y (t)$ $(t \geq 0)$ , where $A$ is the generator of an analytic semigroup ${(e^{A t})}_{t \geq 0}$ on a Banach space $𝒳$ , $B (t)$ is a variable bounded operator in $𝒳$ . It is assumed...

Exponential stability for periodic evolution families of bounded linear operators.

Buşe, C. (2001)

Rendiconti del Seminario Matematico

Exponential stability of linear and almost periodic systems on Banach spaces.

Buşe, Constantin, Lupulescu, Vasile (2003)

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

Extrapolation methods to solve non-autonomous retarded partial differential equations

Abdelaziz Rhandi (1997)

Studia Mathematica

Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.

Extremal properties of contraction semigroups on c0 .

P.K. Lin (1996)

Semigroup forum

Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions

Kazuaki Taira, Angelo Favini, Silvia Romanelli (2001)

Studia Mathematica

This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Wentzell boundary conditions in the characteristic case. Our results may be stated as follows: We can construct Feller semigroups corresponding to a diffusion phenomenon including absorption, reflection, viscosity, diffusion along the boundary and jump at each point of the boundary.

Feller semigroups obtained by variable order subordination.

Kristian P. Evans, Niels Jacob (2007)

Revista Matemática Complutense

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