# PERIODIC BOUNDARY VALUE PROBLEMS FOR nTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

## Related Articles

- An investigation into a problem with homogeneous local two-point conditions for a homogeneous system of partial differential equations. Kalenyuk, P.; Kohut, I.; Nytrebych, Z. // Journal of Mathematical Sciences;Apr2011, Vol. 174 Issue 2, p121
We have described the set of solutions of a homogeneous system of partial differential equations of the second order in time and, in general, of infinite order in space variables, which satisfy homogeneous local two-point in time conditions. We have studied the cases where a two-point problem...

- Bernstein Collocation Method for Solving Linear Differential Equations. AKYÜZ-DAŞCIOĞLU, Ayşegül; ISLER ACAR, Nese // Gazi University Journal of Science;2013, Vol. 26 Issue 4, p527
In this study, a new collocation method based on Bernstein polynomials defined on the interval [a, b] is introduced for approximate solutions of initial and boundary value problems involving higher order linear differential equations with variable coefficients. Error analysis of the method is...

- INFINITELY MANY WEAK SOLUTIONS FOR A p-LAPLACIAN EQUATION WITH NONLINEAR BOUNDARY CONDITIONS. Ji-Hong Zhao; Pei-Hao Zhao // Electronic Journal of Differential Equations;2007, Vol. 2007, p1
We study the following quasilinear problem with nonlinear boundary conditions -Î”pu + a(x)|u|p-2u = f(x, u) in Î©, |&âˆ‡u|p-2 íž‰u/íž‰v = g(x, u) on Î” &Omega, where Î© is a bounded domain in â„N with smooth boundary íž‰/íž‰v and is the outer normal derivative,...

- Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials. Șen, Erdoğan; Acikgoz, Mehmet; Jong Jin Seo; Araci, Serkan; Oruçoglu, Kamil // Journal of Function Spaces & Applications;2013, p1
We consider the following boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator DÎ²0+(É¸p(DÎ±0+u(t))) + a(t)f(u) = 0,0 < t < 1, u(0) = yu(h) + Î», u'(0) = u, É¸p(DÎ±0+u(0))))'' = É¸p(DÎ±0+u(0))))''' = 0, where 1 < Î± â‰¤ 2, 3 < Î²...

- EXISTENCE OF POSITIVE SOLUTIONS OF p-LAPLACIAN FUNCTIONAL DIFFERENTIAL EQUATIONS. Chang-Xiu Song // Electronic Journal of Differential Equations;2006, Vol. 2006, p1
In this paper, the author studies the boundary value problems of p-Laplacian functional differential equation. Sufficient conditions for the existence of positive solutions are established by using a fixed point theorem in cones

- Multiplicity Results for a Dirichlet Boundary Value Problem in the Higher Dimensional Case. Afrouzi, G. A.; Heidarkhani, S. // Advances in Dynamical Systems & Applications;2006, Vol. 1 Issue 2, p121
In this paper, we establish the existence of three weak solutions to a Dirichlet boundary value problem involving the p-Laplacian. The approach is based on variational methods and critical points.

- BOUNDARY EIGENCURVE PROBLEMS INVOLVING THE P-LAPLACIAN OPERATOR. EL KHALIL, ABDELOUAHED; OUANAN, MOHAMMED // Electronic Journal of Differential Equations;2008, Vol. 2008, Special section p1
In this paper, we show that for each &lambd; âˆˆ â„, there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem Î”pu = |u|p-2u in Î© |âˆ‡u|p-2 âˆ‚u/âˆ‚v = Î»Ï(x)|u|p-2u + Î¼|u|p-2u on âˆ‚Î©; also we show that the first eigenvalue...

- EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR p-LAPLACIAN DIRICHLET PROBLEM. WENSHU ZHOU // Electronic Journal of Differential Equations;2008, Vol. 2008, Special section p1
By a argument based on regularization technique, upper and lower solutions method and ArzelÃ¡-Ascoli theorem, this paper shows sufficient conditions of the existence of positive solutions of a Dirichlet problem for singular p-Laplacian.

- EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A BVP WITH A P-LAPLACIAN ON THE HALF-LINE. YU TIAN; WEIGAO GE // Electronic Journal of Differential Equations;2009, Vol. 2009, Special section p1
In this work, we consider the second order multi-point boundary-value problem with a p-Laplacian (Ï(t)Î¦p(x'(t)))' + f(t, x(t), x'(t)) = 0, t âˆˆ [0,+âˆž), x(0) = m âˆ‘ i=1 Î±ix(Î¾i), lim tâ†’âˆž x(t) = 0 . By applying a nonlinear alternative theorem, we establish...