Regularity of parabolic hemivariational inequalities with boundary conditions.

Park, Dong-Gun; Jeong, Jin-Mun; Park, Sun Hye

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On positive solutions of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1995)

Annales Polonici Mathematici

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The differential equation of the form ${(q (t) k (u) {(u^{'})}^{a})}^{'} = f (t) h (u) u^{'}$ , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

New results on the positive solutions of nonlinear second-order differential systems.

Guo, Yingxin (2009)

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Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines.

Bahuguna, D., Dabas, J. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Nonnegative solutions of a class of second order nonlinear differential equations

S. Staněk (1992)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.

Unbounded solutions of a boundary value problem for abstract $n$ th-order differential equations on an infinite interval.

Liu, Zhenbin, Liu, Lishan, Wu, Yonghong, Zhao, Jing (2008)

Journal of Applied Mathematics and Stochastic Analysis

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Semilinear evolution equations of the parabolic type

Jan Bochenek (1999)

Annales Polonici Mathematici

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This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.

Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems.

Liu, Haihong, Su, Ning (2006)

International Journal of Mathematics and Mathematical Sciences

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On a variational inequality for the nonhomogeneous degenerated Kirchhoff equation with a frictional damping.

Frota, C.L., Lar'kin, N.A. (1998)

Portugaliae Mathematica

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An immediate analysis for global superconvergence for integrodifferential equations

Qun Lin, Shu Hua Zhang (1997)

Applications of Mathematics

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In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.

On Bellman-Bihari integral inequalities.

Young, Eutiquio C. (1982)

International Journal of Mathematics and Mathematical Sciences

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Blow up of the solutions of nonlinear wave equation.

Georgiev, Svetlin Georgiev (2007)

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On Lyapunov-type inequalities for two-dimensional nonlinear partial systems.

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Journal of Inequalities and Applications [electronic only]

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