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- Grxc3xb6nwalls_inequality abstract "In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a differential form and an integral form. For the latter there are several variants.Grönwall's inequality is an important tool to obtain various estimates in the theory of ordinary and stochastic differential equations. In particular, it provides a Comparison theorem that can be used to prove uniqueness of a solution to the initial value problem; see the Picard–Lindelöf theorem.It is named for Thomas Hakon Grönwall (1877–1932). Grönwall is the Swedish spelling of his name, but he spelled his name as Gronwall in his scientific publications after emigrating to the United States. The differential form was proven by Grönwall in 1919.The integral form was proven by Richard Bellman in 1943.A nonlinear generalization of the Grönwall–Bellman inequality is known as Bihari's inequality. Other variants and generalizations can be found in Pachpatte, B.G. (1998).".
- Grxc3xb6nwalls_inequality wikiPageID "1770447".
- Grxc3xb6nwalls_inequality wikiPageLength "17464".
- Grxc3xb6nwalls_inequality wikiPageOutDegree "49".
- Grxc3xb6nwalls_inequality wikiPageRevisionID "683789820".
- Grxc3xb6nwalls_inequality wikiPageWikiLink Biharis_inequality.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Borel_set.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Borel_σ-algebra.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Category:Articles_containing_proofs.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Category:Inequalities.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Category:Lemmas.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Category:Ordinary_differential_equations.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Category:Stochastic_differential_equations.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Chain_rule.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Characterizations_of_the_exponential_function.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Comparison_theorem.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Continuous_function.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Continuous_functions.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Counterexample.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Derivative.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Differential_inequality.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Differential_variational_inequality.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Dominated_convergence_theorem.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Empty_sum.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Exponential_function.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Fubinis_theorem.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Functional_equation.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Fundamental_theorem_of_calculus.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Hyperplane.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Initial_value_problem.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Integral_inequality.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Interior_(topology).
- Grxc3xb6nwalls_inequality wikiPageWikiLink Interval_(mathematics).
- Grxc3xb6nwalls_inequality wikiPageWikiLink Lebesgue_measure.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Locally_finite_measure.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Logarithmic_norm.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Mathematical_induction.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Mathematics.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Mean_value_theorem.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Measurable_function.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Ordinary_differential_equation.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Permutation.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Picard–Lindelöf_theorem.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Product_rule.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Quotient_rule.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Real_line.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Richard_Bellman.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Richard_E._Bellman.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Simplex.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Stochastic_differential_equation.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Thomas_Hakon_Grönwall.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Uniqueness.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Uniqueness_quantification.
- Grxc3xb6nwalls_inequality wikiPageWikiLink Unit_interval.
- Grxc3xb6nwalls_inequality wikiPageWikiLinkText "Grönwall's inequality".
- Grxc3xb6nwalls_inequality wikiPageWikiLinkText "Grönwall's lemma".
- Grxc3xb6nwalls_inequality hasPhotoCollection Grxc3xb6nwalls_inequality.
- Grxc3xb6nwalls_inequality id "3901".
- Grxc3xb6nwalls_inequality title "Gronwall's lemma".
- Grxc3xb6nwalls_inequality wikiPageUsesTemplate Template:Closed-closed.
- Grxc3xb6nwalls_inequality wikiPageUsesTemplate Template:Closed-open.
- Grxc3xb6nwalls_inequality wikiPageUsesTemplate Template:Math.
- Grxc3xb6nwalls_inequality wikiPageUsesTemplate Template:Open-closed.
- Grxc3xb6nwalls_inequality wikiPageUsesTemplate Template:Open-open.
- Grxc3xb6nwalls_inequality wikiPageUsesTemplate Template:PlanetMath_attribution.
- Grxc3xb6nwalls_inequality subject Category:Articles_containing_proofs.
- Grxc3xb6nwalls_inequality subject Category:Inequalities.
- Grxc3xb6nwalls_inequality subject Category:Lemmas.
- Grxc3xb6nwalls_inequality subject Category:Ordinary_differential_equations.
- Grxc3xb6nwalls_inequality subject Category:Stochastic_differential_equations.
- Grxc3xb6nwalls_inequality comment "In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a differential form and an integral form.".
- Grxc3xb6nwalls_inequality label "Grönwall's inequality".
- Grxc3xb6nwalls_inequality sameAs مبرهنة_غرونويل.
- Grxc3xb6nwalls_inequality sameAs Gronwallsche_Ungleichung.
- Grxc3xb6nwalls_inequality sameAs Lema_de_Gronwall.
- Grxc3xb6nwalls_inequality sameAs Lemme_de_Grönwall.
- Grxc3xb6nwalls_inequality sameAs הלמה_של_גרינוול.
- Grxc3xb6nwalls_inequality sameAs グロンウォールの不等式.
- Grxc3xb6nwalls_inequality sameAs Nierówność_Gronwalla.
- Grxc3xb6nwalls_inequality sameAs Lema_de_Grönwall.
- Grxc3xb6nwalls_inequality sameAs m.05vmlh.
- Grxc3xb6nwalls_inequality sameAs Лемма_Гронуолла_—_Беллмана.
- Grxc3xb6nwalls_inequality sameAs Лема_Гронуолла—Беллмана.
- Grxc3xb6nwalls_inequality sameAs Q510733.
- Grxc3xb6nwalls_inequality sameAs Q510733.
- Grxc3xb6nwalls_inequality sameAs 格朗沃尔不等式.
- Grxc3xb6nwalls_inequality wasDerivedFrom Grxc3xb6nwalls_inequalityoldid=683789820.
- Grxc3xb6nwalls_inequality isPrimaryTopicOf Grxc3xb6nwalls_inequality.