Results 71 to 80 of about 485,864 (198)
Alexandria Engineering JournalThis study investigates weakly singular nonlinear functional Volterra integral equations (WSNFVIEs) of Urysohn type involving Riemann–Liouville operator.
Imtiyaz Ahmad Bhat +4 more
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Exponential convergence for ultrafast diffusion equations with log‐concave weights
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
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On the Systems of Discrete Inequalities of Gronwall Type
Journal of Mathematical Analysis and Applications, 1994 The basic result of the paper embodied in Theorem 1 yields a discrete version of the next very special system of Volterra integral inequalities \[ u_ i(x) \leq f_ i(x) + g_ i(x)W \left[ \int^ x_{x_ 0} B \bigl( t,u_ 1(t), \dots, u_ s(t) \bigr) dt \right],\;i = 1,2, \dots, s, \tag{I} \] where all the functions involved are real-valued nonnegative ...
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Eigenvalues of the mean sigma and weighted mean integral operators related to a Gronwall inequality. [PDF]
, 1969 In their paper, Schmaedeke and Sell have established a Gronwall inequality which holds for the Stieiltjes mean sigma and Dushnik iptegrals. In Chapter 2, we shall investigate an eigenvalue problem related to the Gronwall inequality for the Stieltjes mean
Kroll, Jeffrey R.
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Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
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A note on Bellman-Gronwall's inequality
Journal of Mathematical Analysis and Applications, 1981 AbstractIn the present note a multidimensional analogue of Bellman-Gronwall's inequality is proved.
Zahariev, A.I, Bainov, D.D
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A Note on Gronwall’s Inequality on Time Scales
Abstract and Applied Analysis, 2014 This paper gives a new version of Gronwall’s inequality on time scales. The method used in the proof is much different from that in the literature. Finally, an application is presented to show the feasibility of the obtained Gronwall’s inequality.
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Evolution psi-Hilfer fractional differential equations in Banach spaces
Electronic Journal of Differential EquationsThis article concerns evolution equations involving $\psi$-Hilfer fractional derivative in a Banach space. By using the theory of fractional calculus and $\psi$-Laplace transform, we firstly derive a definition of mild solutions for these equations ...
Jin Liang, Yunyi Mu, Ti-Jun Xiao
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On Gronwall's Inequality [PDF]
Proceedings of the American Mathematical Society, 1967 Chu, C. S., Metcalf, F. T.
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The solution of a nonlinear Gronwall inequality [PDF]
Proceedings of the American Mathematical Society, 1973 This paper extends some of the earlier results of J. V. Herod, W. W. Schmaedeke and G. R. Sell, and B. W. Helton and shows that, under the given conditions, (1) there is a function u u
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