Results 71 to 80 of about 726,333 (182)
Oscillation of solutions to second-order half-linear differential equations with neutral terms
Electronic Journal of Differential Equations, 2013 This article studies the oscillatory behavior of second-order half-linear differential equations with several neutral terms. Some criteria are presented that include those reported in [22].
Tongxing Li +2 more
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Comparison theorems for differential games. I
Journal of Differential Equations, 1972 The basic existence theory, of value and a saddle point, for (a) is given in [4] (see also [5]), and for (b) is given in [2, 31 (see also [S]). Our approach is to construct a family of games GA of fixed duration, with value VA, such that (i) the results of [6] can be applied to GA , and (ii) VA converges to the value V of the differential game under ...
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Comparison theorems and hypersurfaces
Manuscripta Mathematica, 1987 The Jacobi equation is most commonly used as a basis for comparison theorems in Riemannian geometry. It is well known that the Riccati equation may be used for this purpose as well [cf. e.g. \textit{M. Gromov}, Structures métriques pour les variétés riemanniennes (1981; Zbl 0509.53034)]. The present paper develops that approach systematically.
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Comparison theorems for second-order neutral differential equations of mixed type
Electronic Journal of Differential Equations, 2010 Three comparison theorems are established for the oscillation of the second-order neutral differential equations of mixed type $$ ig(r(t)[x(t)+p_1(t)x(t-sigma_1)+p_2(t)x(t+sigma_2)]'ig)' +q_1(t)x(t-sigma_3) +q_2(t)x(t+sigma_4)=0. $$ Our results are
Tongxing Li
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An isoperimetric comparison theorem
Inventiones Mathematicae, 1992 The author discusses the isoperimetric inequality for a complete, simply connected, 3-dimensional Riemannian manifold \(M\) with sectional curvature \(K_ M\leq k\leq 0\). If \(E\subset M\) is a compact domain with smooth boundary \(\partial E\) and \(B\) is the geodesic ball in the 3-dimensional model space of constant curvature \(k\) with the same ...
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Existence of entire solutions for non-local delayed lattice differential equations
Electronic Journal of Differential Equations, 2013 In this article we study entire solutions for a non-local delayed lattice differential equation with monostable nonlinearity. First, based on a concavity assumption of the birth function, we establish a comparison theorem.
Shi-Liang Wu, San-Yang Liu
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Sturm-Picone type theorems for nonlinear differential systems
Electronic Journal of Differential Equations, 2015 In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
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Journal of MathematicsWe establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex ...
Shu-Min Lu, Peng Wang, Fei He
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On the asymptotic behavior of a class of third order nonlinear neutral differential equations
Open Mathematics, 2010 Baculíková Blanka, Džurina Jozef
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Oscillation of the solution to a singular differential equation
Electronic Journal of Differential Equations, 1999 Let $u$ be a solution to the initial-value problem {eqnarray*} &u''(t) + frac{N-1}{t}u'(t) + u(t) + u(t)|u(t)|^{4/(N-2)} = 0, quad t in (0,T]& &u(0) = frac {1}{2},quad u' (0) = 0,.
Alexandra Kurepa, Hugh Weithers
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