Delayed von Foerster equation.

Haribash, Najemedin

Displaying similar documents to “Delayed von Foerster equation.”

The existence of bounded solutions for differential equations in Hilbert spaces

B. Przeradzki (1992)

Annales Polonici Mathematici

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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.

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.

Formulas of variation for a solution of neutral differential equations with continuous initial condition.

Ramishvili, I., Tadumadze, T. (2004)

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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On a Theorem of Mierczyński

Gerd Herzog (1998)

Colloquium Mathematicae

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We prove that the initial value problem x’(t) = f(t,x(t)), $x (0) = x_{1}$ is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.

$L_{\infty}$ -estimate for solutions of nonlinear parabolic systems

Wojciech Zajączkowski (1996)

Banach Center Publications

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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an $L_{\infty}$ -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, $L_{\infty}$ -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The $L_{\infty}$ -estimates are obtained by the Di Benedetto methods.

Existence of solutions of the Cauchy problem for semilinear infinite systems of parabolic differential-functional equations.

Pudełko, Anna (2004)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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An abstract semilinear first order differential equation in the hyperbolic case

Jan Bochenek (1995)

Annales Polonici Mathematici

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This paper is devoted to the investigation of the abstract semilinear initial value problem $d u / d t = A (t) u + f (t, u), u (0) = u_{0}$ , in the “hyperbolic” case.

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.

Wiener process with reflection in non-smooth narrow tubes.

Spiliopoulos, Konstantinos (2009)

Electronic Journal of Probability [electronic only]

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On uniqueness for a system of heat equations coupled in the boundary conditions.

Kordoš, M. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Nonuniqueness theorem for a singular Cauchy problem.

Kalas, Josef (2000)

Georgian Mathematical Journal

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