On a nonlocal boundary value problem for second-order nonlinear singular differential equations.
Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Displaying similar documents to “On the uniqueness of viscosity solutions for first order partial differential-functional equations”
On a nonlocal boundary value problem for second-order nonlinear singular differential equations.
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
First order partial functional differential equations with unbounded delay.
Kamont, Z., Kozieł, S. (2003)
Georgian Mathematical Journal
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The use of Lyapunov functions in uniqueness and nonuniqueness theorems
Josef Kalas (2000)
Archivum Mathematicum
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Qualitative investigation of nonlinear differential equations describing infiltration of water
Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
On some properties of solutions of second-order linear functional differential equations.
Kiguradze, I. (1994)
Georgian Mathematical Journal
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An abstract nonlinear second order differential equation
Jan Bochenek (1991)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
On some two-point boundary value problems for two-dimensional systems of ordinary differential equations.
Lomtatidze, A. (1994)
Georgian Mathematical Journal
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On Shioda's problem about Jacobi sums
Hiroo Miki (1995)
Acta Arithmetica
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Parabolic perturbations of Hamilton–Jacobi equations
Yakov Sinai (1998)
Fundamenta Mathematicae
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We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.