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Displaying 221 – 240 of 383

On some properties of the solution of the differential equation $u^{''} + \frac{2 u^{'}}{r} = u - u^{3}$

Valter Šeda, Ján Pekár (1990)

Aplikace matematiky

In the paper it is shown that each solution $u (r, α)$ ot the initial value problem (2), (3) has a finite limit for $r \to \infty$ , and an asymptotic formula for the nontrivial solution $u (r, α)$ tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions $u (r, \bar{α})$ , $u (r, \hat{α})$ .

On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.

Ashordia, M. (1997)

Memoirs on Differential Equations and Mathematical Physics

On the asymptotic behavior for a damped oscillator under a sublinear friction.

Jesús Ildefonso Díaz, Amable Liñán (2001)

RACSAM

Mostramos la existencia de dos curvas de datos iniciales (x0, v0) para las cuales las soluciones x(t) correspondientes del problema de Cauchy asociado a la ecuación xtt + |xt|α-1 xt + x = 0, supuesto α ∈ (0,1), se anulan idénticamente después de un tiempo finito. Mediante métodos asintóticos y argumentos de comparación mostramos que para muchos otros datos iniciales las soluciones decaen a 0, en un tiempo infinito, como t-α / (1-α).

On the boundedness of solutions of higher order differential equations

Magdalena Vencková (1977)

Archivum Mathematicum

On the continuability of solutions of bidimensional systems.

Juan E. Nápoles V. (1996)

Extracta Mathematicae

On the correctness of the Cauchy problem for a linear differential system on an infinite interval.

Kiguradze, I. (1996)

Georgian Mathematical Journal

On the dependence of solutions upon the right hand side of an ordinary differential equation.

H.W. Knobloch (1988)

Aequationes mathematicae

On the discrete kinetic theory for active particles. Modelling the immune competition.

Brazzoli, I., Chauviere, A. (2006)

Computational & Mathematical Methods in Medicine

On the equation $x_{a p}^{(n)} = f (t, x)$

Dariusz Bugajewski, Daria Wójtowicz (1996)

Czechoslovak Mathematical Journal

On the equation x”(t) = F(t, x(t)) in the Sobolev space $H^{1} (R)$

Piotr Fijałkowski (1991)

Annales Polonici Mathematici

On the existence and boundedness of solutions of a nonlinear delay differential system

Ján Futák (1978)

Archivum Mathematicum

On the existence and uniqueness of solutions of systems of differential equations with a deviated argument

T. Jankowski, M. Kwapisz (1972)

Annales Polonici Mathematici

On the existence of continuous solutions of operator equations in Banach spaces

Antoni Augustynowicz, Marian Kwapisz (1986)

Časopis pro pěstování matematiky

On the Existence of Oscillatory Solutions of the Second Order Nonlinear ODE

Martin Rohleder (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The paper investigates the singular initial problem[4pt] ${(p (t) u^{'} (t))}^{'} + q (t) f (u (t)) = 0, u (0) = u_{0}, u^{'} (0) = 0$ [4pt] on the half-line $[0, \infty)$ . Here $u_{0} \in [L_{0}, L]$ , where $L_{0}$ , $0$ and $L$ are zeros of $f$ , which is locally Lipschitz continuous on $ℝ$ . Function $p$ is continuous on $[0, \infty)$ , has a positive continuous derivative on $(0, \infty)$ and $p (0) = 0$ . Function $q$ is continuous on $[0, \infty)$ and positive on $(0, \infty)$ . For specific values $u_{0}$ we prove the existence and uniqueness of damped solutions of this problem. With additional conditions for $f$ , $p$ and $q$ it is shown that the problem has for each specified $u_{0}$ a unique...

On the existence of periodic boundary conditions for certain nonlinear vector differential equations

G. G. Hamedani (1979)

Časopis pro pěstování matematiky

On the existence of solutions and one-step method for functional-differential equations with parameters

Tadeusz Jankowski (1994)

Czechoslovak Mathematical Journal

On the existence of solutions of differential equations of retarded type in a Banach space

V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)

Annales Polonici Mathematici

On the existence of solutions of operator-differential equations

Ján Futák (1991)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives.

Diblík, Jozef (1985)

Publications de l'Institut Mathématique. Nouvelle Série

On the Factorization of the Poincaré Polynomial: A Survey

Akyıldız, Ersan (2004)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30.Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane are some of the important problems not only in algorithmic mathematics but also in cryptography.

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