Search results for "Ulam stability"

showing 3 items of 3 documents

Ulam Stability for the Composition of Operators

2020

Working in the setting of Banach spaces, we give a simpler proof of a result concerning the Ulam stability of the composition of operators. Several applications are provided. Then, we give an example of a discrete semigroup with Ulam unstable members and an example of Ulam stable operators on a Banach space, such that their sum is not Ulam stable. Another example is concerned with a C 0 -semigroup ( T t ) t &ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsOpen problemBanach space02 engineering and technology01 natural sciencesStability (probability)closed linear subspacescomposition of operators0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)0101 mathematicsNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional AnalysisSemigrouplcsh:Mathematics010102 general mathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Computer Science::Programming Languages020201 artificial intelligence & image processingSymmetry
researchProduct

Random Stability of an Additive-Quadratic-Quartic Functional Equation

2010

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x&#x2212;2y)=2f(x+y)+2f(&#x2212;x&#x2212;y)+2f(x&#x2212;y)+2f(y&#x2212;x)&#x2212;4f(&#x2212;x)&#x2212;2f(x)+f(2y)+f(&#x2212;2y)&#x2212;4f(y)&#x2212;4f(&#x2212;y) in complete random normed spaces.

Settore MAT/05 - Analisi MatematicaApplied Mathematicslcsh:MathematicsDiscrete Mathematics and Combinatoricslcsh:QA1-939AnalysisRandom normed space fixed point generalized Hyers-Ulam stability additive-quadratic-quartic functional equationJournal of Inequalities and Applications
researchProduct

A C0-Semigroup of Ulam Unstable Operators

2020

The Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0-semigroups. Examples of C0-semigroups formed with Ulam stable operators are known. In this paper, we construct a C0-semigroup (Rt)t&ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsMathematicsofComputing_GENERAL02 engineering and technology01 natural sciencesStability (probability)Domain (mathematical analysis)Chebyshev expansion0103 physical sciencescomposition of operatorsData_FILES0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Infinitesimal generatorC0-semigroupNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional Analysis010308 nuclear & particles physicsSemigroupMathematics::Operator Algebraslcsh:MathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Chebyshev expansion020201 artificial intelligence & image processingSymmetry
researchProduct