Periodic in distribution solution for a telegraph equation.
Periodic solutions of abstract and partial differential equations with deviation
Periodic solutions of an abstract third-order differential equation
Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu'''(t) + u''(t) = βAu(t) + γBu'(t) + f(t) with boundary conditions u(0) = u(2π), u'(0) = u'(2π) and u''(0) = u''(2π), where A and B are closed linear operators defined on a Banach space X, α,β,γ ∈ ℝ₊, and f belongs to either periodic Lebesgue spaces, or periodic Besov spaces, or periodic Triebel-Lizorkin spaces.
Periodic solutions of degenerate differential equations in vector-valued function spaces
Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces.
Periodic solutions of infinite dimensional Riccati Equations
Si da un risultato di esistenza di soluzioni periodiche per una equazione di Riccati in dimensione infinita.
Periodicity of mild solutions to higher order differential equations in Banach spaces.
Perron conditions and uniform exponential stability of linear skew-product semiflows on locally compact spaces.
Perturbation theorems for maximal -regularity
Points singuliers d'équations différentielles
Positivity and stability for a system of transport equations with unbounded boundary perturbations.
Properties of the Lp-solutions of linear impulsive equations in a Banach space. (Summary).
Properties of the Lp-solutions of linear impulsive equations in a Banach space.
Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces.
Quelques remarques sur les opérateurs différentiels d'ordre 1
Regularity Theorems and Optimal Errors Estimates for Linear Parabolic Cauchy Problems.
Regularization of Some Classes of Ultradistribution Semigroups and Sines
Regularized cosine existence and uniqueness families for second order abstract Cauchy problems
Let (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.
Regularized semigroups and systems of linear partial differential equations
Regularized Semigroups, Iterated Cauchy Problems and Equipartition of Energy.
Relative boundedness and compactness theory for second-order differential operators.