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Estimations of noncontinuable solutions of second order differential equations with $p$ -Laplacian

Eva Pekárková — 2010

Archivum Mathematicum

We study asymptotic properties of solutions for a system of second differential equations with $p$ -Laplacian. The main purpose is to investigate lower estimates of singular solutions of second order differential equations with $p$ -Laplacian ${(A (t) Φ_{p} (y^{'}))}^{'} + B (t) g (y^{'}) + R (t) f (y) = e (t)$ . Furthermore, we obtain results for a scalar equation.

Asymptotic integration of differential equations with singular $p$ -Laplacian

Milan Medveď; Eva Pekárková — 2016

Archivum Mathematicum

In this paper we deal with the problem of asymptotic integration of nonlinear differential equations with $p -$ Laplacian, where $1 < p < 2$ . We prove sufficient conditions under which all solutions of an equation from this class are converging to a linear function as $t \to \infty$ .

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Estimations of noncontinuable solutions of second order differential equations with $p$ -Laplacian

Asymptotic integration of differential equations with singular $p$ -Laplacian

Large time behavior of solutions to second-order differential equations with $p$ -Laplacian.

On existence of proper solutions of quasilinear second order differential equations.

Existence of global solutions for systems of second-order differential equations with $p$ -Laplacian.

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Formula preview

Currently displaying 1 – 5 of 5

Estimations of noncontinuable solutions of second order differential equations with p -Laplacian

Asymptotic integration of differential equations with singular p -Laplacian

Large time behavior of solutions to second-order differential equations with p -Laplacian.

On existence of proper solutions of quasilinear second order differential equations.

Existence of global solutions for systems of second-order differential equations with p -Laplacian.

Estimations of noncontinuable solutions of second order differential equations with $p$ -Laplacian

Asymptotic integration of differential equations with singular $p$ -Laplacian

Large time behavior of solutions to second-order differential equations with $p$ -Laplacian.

Existence of global solutions for systems of second-order differential equations with $p$ -Laplacian.