Results 11 to 20 of about 27,208 (276)

A New Resolvent Equation for the $$S$$ S -Functional Calculus [PDF]

The Journal of Geometric Analysis, 2014
The S-functional calculus is a functional calculus for $(n+1)$-tuples of non necessarily commuting operators that can be considered a higher dimensional version of the classical Riesz-Dunford functional calculus for a single operator. In this last calculus, the resolvent equation plays an important role in the proof of several results.
Alpay, Daniel, COLOMBO, FABRIZIO, GANTNER, JONATHAN, SABADINI, IRENE MARIA   +3 more
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Study of Uniqueness and Ulam-Type Stability of Abstract Hadamard Fractional Differential Equations of Sobolev Type via Resolvent Operators

Axioms
This paper focuses on studying the uniqueness of the mild solution for an abstract fractional differential equation. We use Banach’s fixed point theorem to prove this uniqueness.
Khellaf Ould Melha, Abdelhamid Mohammed Djaouti, Muhammad Amer Latif, Vaijanath L. Chinchane   +3 more
doaj   +3 more sources

Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings

Journal of Inequalities and Applications, 2020
In the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation has been recommended and solved by employing
Iqbal Ahmad, Syed Shakaib Irfan, Mohammad Farid, Preeti Shukla   +3 more
doaj   +1 more source

Results on existence of solutions in nonlocal partial functional integrodifferential equations with finite delay in nondense domain

Alexandria Engineering Journal, 2023
In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar, K. Munusamy, C. Ravichandran   +2 more
doaj   +1 more source

Limiting absorption principle for the dissipative Helmholtz equation [PDF]

, 2009
Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption principle for a class of abstract dissipative operators.
Amrein W., Benamou J.-D., Benamou J.-D., Cycon H.L., Engel K.J., Gérard C., Hörmander L., Jensen A., Jensen A., Jensen A., Julien Royer, Martinez A., Nagy S., Reed M., Reed M., Robert D., Robert D., Wang X.P., Wang X.P., Wang X.P., Wang X.P.   +20 more
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Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

Opuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source

Resolving singular nonlinear equations

Rocky Mountain Journal of Mathematics, 1988
The authors develop a unified theory for the solution \(x_ 0=(z_ 0,\lambda_ 0)\) of an operator equation \(G(z,\lambda)=0\) where \(\lambda\in R\) q, dim N(G'(x\({}_ 0))=m+q\), and dim N(G'(x\({}_ 0)\) \(*)=m\). This formulation includes multiple bifurcations for multi- parameter problems \((q>0\), \(m>1)\), as well as singular operator equations \((q ...
Allgower, E.L., Böhmer, K.
openaire   +3 more sources

A Volterra equation with nonintegrable resolvent [PDF]

Proceedings of the American Mathematical Society, 1979
A counterexample, which shows that the resolvent associated with a nonnegative, nonincreasing function need not be integrable, is constructed.
openaire   +2 more sources

Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations [PDF]

Communications in Mathematical Physics, 2012
A refinement of uniform resolvent estimate is given and several smoothing estimates for Schrodinger equations in the critical case are induced from it. The relation between this resolvent estimate and radiation condition is discussed. As an application of critical smoothing estimates, we show a global existence results for derivative nonlinear ...
Ruzhansky, M, Sugimoto, M
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Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are ...
Leigh Becker
doaj   +1 more source