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Displaying 261 – 280 of 1576

On continuous composition operators

Wilhelmina Smajdor (2010)

Annales Polonici Mathematici

Let I ⊂ ℝ be an interval, Y be a normed linear space and Z be a Banach space. We investigate the Banach space Lip₂(I,Z) of all functions ψ: I → Z such that $M_{ψ} : = s u p | | [r, s, t; ψ] | | : r < s < t, r, s, t \in I < \infty$ , where [r,s,t;ψ]:= ((s-r)ψ(t)+(t-s)ψ(r)-(t-r)ψ(s))/((t-r)(t-s)(s-r)). We show that ψ ∈ Lip₂(I,Z) if and only if ψ is differentiable and its derivative ψ’ is Lipschitzian. Suppose the composition operator N generated by h: I × Y → Z, (Nφ)(t):= h(t,φ(t)), maps the set (I,Y) of all affine functions φ: I → Y into Lip₂(I,Z). We prove that if N is...

On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)

Małgorzata Klimek (2011)

Banach Center Publications

One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.

A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.

Currently displaying 261 – 280 of 1576

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Displaying 261 – 280 of 1576

On continuous composition operators

On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)

On contractions in $L_{1}$

On contraction-type mappings on a 2-normed space

On contractive mappings in metric spaces

On contradictions of normed vector spaces

On convergence of iterates of the Frobenius-Perron operator for expanding mappings

On convexity of composition and multiplication operators on weighted Hardy spaces.

On convolution operators in the spaces of almost periodic functions and $L^{p}$ spaces.

On Co-Semigroups of Lattice Homomorphisms on a Banach Lattice.

On cosine operator functions and one-parameter groups of operators

On countability of the spectrum of Banach space valued weakly almost-periodic functions

On coupled random fixed point results in partially ordered metric spaces

On coupling constant thresholds and related eigenvalue properties of Dirac operators.

On Cusp Forms in Character Varieties.

On cyclicity in weighted Dirichlet spaces.

On $- \frac{d^{2}}{d x^{2}} + V$ where $V$ has infinitely many “bumps”

On Davis-Kahan-weinberger Extension Theorem

On decomposably regular operators.

On decomposition of pairs of commuting isometries

Currently displaying 261 – 280 of 1576