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This paper is devoted to the study of the approximation problem for the abstract hyperbolic differential equation u'(t) = A(t)u(t) for t ∈ [0,T], where A(t):t ∈ [0,T] is a family of closed linear operators, without assuming the density of their domains.

Approximation von Fixpunkten

Jochen Reinermann (1971)

Studia Mathematica

Approximation with Restricted Spectra.

C.K. Chui, P.W. Smith, J.D. Ward (1975)

Mathematische Zeitschrift

Approximations of contraction operators on $L^{\infty}$ - I

Kim, Choo-Whan (1979)

Portugaliae mathematica

Approximations of fixed points for mappings in the class $A (T, α)$ .

Akkouchi, Mohamed (2003)

Divulgaciones Matemáticas

Approximations of Positive Contractions on Loo. II.

Choo-Whan Kim (1975)

Mathematische Annalen

Approximations of solutions to nonlinear Sobolev type evolution equations.

Bahuguna, Dhirendra, Shukla, Reeta (2003)

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

Approximations to Nonlinear Operator Equations and Newton's Method.

R.H. MOORE (1968)

Numerische Mathematik

Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben.

B. Gramsch, K.-D. Bierstedt (1976)

Manuscripta mathematica

Approximationszahlen, p-nukleare Operatoren und Hilbertraumcharakterisierungen.

Bernd Rosenberger (1975)

Mathematische Annalen

Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity

Olivier Rey, Juncheng Wei (2005)

Journal of the European Mathematical Society

We show that the critical nonlinear elliptic Neumann problem $Δ u - μ u + u^{7 / 3} = 0$ in $Ω$ , $u > 0$ in $Ω$ , $\frac{\partial u}{\partial ν} = 0$ on $\partial Ω$ , where $Ω$ is a bounded and smooth domain in $ℝ^{5}$ , has arbitrarily many solutions, provided that $μ > 0$ is small enough. More precisely, for any positive integer $K$ , there exists $μ_{K} > 0$ such that for $0 < μ < μ_{K}$ , the above problem has a nontrivial solution which blows up at $K$ interior points in $Ω$ , as $μ \to 0$ . The location of the blow-up points is related to the domain geometry. The solutions are obtained as critical points of some finite-dimensional...

Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme.

Nair, M.T., Rajan, M.P. (2001)

Abstract and Applied Analysis

Area differences under analytic maps and operators

Mehmet Çelik, Luke Duane-Tessier, Ashley Marcial Rodriguez, Daniel Rodriguez, Aden Shaw (2024)

Czechoslovak Mathematical Journal

Motivated by the relationship between the area of the image of the unit disk under a holomorphic mapping $h$ and that of $z h$ , we study various $L^{2}$ norms for $T_{ϕ} (h)$ , where $T_{ϕ}$ is the Toeplitz operator with symbol $ϕ$ . In Theorem , given polynomials $p$ and $q$ we find a symbol $ϕ$ such that $T_{ϕ} (p) = q$ . We extend some of our results to the polydisc.

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Approximation solvability of Hammerstein equation.

Approximation spectral d'un opérateur borné et normal à l'aide de ses fonctions de la densité spectrale

Approximation structures and applications to evolution equations.

Approximation the Shift with Toeplitz Operators.

Approximation theorem for evolution operators