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

Guo, Yingxin

Displaying similar documents to “New results on the positive solutions of nonlinear second-order differential systems.”

Blow up of the solutions of nonlinear wave equation.

Georgiev, Svetlin Georgiev (2007)

Boundary Value Problems [electronic only]

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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.

Existence of positive solutions for a class of higher-order $m$ -point boundary value problems.

Luca, R. (2010)

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

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Solvability of a generalized third-order left focal problem at resonance in Banach spaces

Youwei Zhang (2013)

Mathematica Bohemica

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This paper deals with the generalized nonlinear third-order left focal problem at resonance $\{\begin{matrix} {(p (t) u^{''} (t))}^{'} - q (t) u (t) = f (t, u (t), u^{'} (t), u^{''} (t)), t \in] t_{0}, T [, m (u (t_{0}), u^{''} (t_{0})) = 0, n (u (T), u^{'} (T)) = 0, l (u (ξ), u^{'} (ξ), u^{''} (ξ)) = 0, \end{matrix}$ where the nonlinear term is a Carathéodory function and contains explicitly the first and second-order derivatives of the unknown function. The boundary conditions that we study are quite general, involve a linearity and include, as particular cases, Sturm-Liouville boundary conditions. Under certain growth conditions on the nonlinearity, we establish the existence of the nontrivial solutions...

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.