# GENERAL EXISTENCE PRINCIPLES FOR NONLOCAL BOUNDARY VALUE PROBLEMS WITH Ã˜-LAPLACIAN AND THEIR APPLICATIONS

## Related Articles

- Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem. Haitong Li; Minghe Pei; Libo Wang // Journal of Applied Mathematics;2014, p1
We investigate the solvability of a fully fourth-order periodic boundary value problem of the form x(4) = f(t, x, x', x'', x'''), x (i) (0) = x(i)(T), i = 0, 1, 2, 3, where f: [0,T] Ã— R4 â†’ R satisfies CarathÃ©odory conditions. By using the coincidence degree theory, the existence of...

- Solvability of a higher-order multi-point boundary value problem at resonance. Lin, Xiaojie; Zhang, Qin; Du, Zengji // Applications of Mathematics;Dec2011, Vol. 56 Issue 6, p557
Based on the coincidence degree theory of Mawhin, we get a new general existence result for the following higher-order multi-point boundary value problem at resonance where f: [0, 1] ï¿½ R ? R is a Carathï¿½odory function, 0 < ? < ? < ... < ? < 1, a ? R, i = 1, 2, ..., m, m = 2 and 0 < ? <...

- A SYMMETRIC SOLUTION OF A MULTIPOINT BOUNDARY VALUE PROBLEM AT RESONANCE. Kosmatov, Nickolai // Abstract & Applied Analysis;2006, p1
We apply a coincidence degree theorem of Mawhin to show the existence of at least one symmetric solution of the nonlinear second-order multipoint boundary value problem uâ€³(t) = f (t,u(t), âˆ£uâ€²(t)âˆ£), t âˆŠ (0,1), u(0) = âˆ‘i=1n Î¼iu(Î¾i), u(1-t) = u(t), t âˆŠ...

- AN EXISTENCE RESULT OF ONE NONTRIVIAL SOLUTION FOR TWO POINT BOUNDARY VALUE PROBLEMS. BONANNO, GABRIELE; SCIAMMETTA, ANGELA // Bulletin of the Australian Mathematical Society;Oct2011, Vol. 84 Issue 2, p288
Existence results of positive solutions for a two point boundary value problem are established. No asymptotic condition on the nonlinear term either at zero or at infinity is required. A classical result of Erbe and Wang is improved. The approach is based on variational methods.

- Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems. Ruyun Ma; Chenghua Gao; Ruipeng Chen // Boundary Value Problems;2010, Special section p1
This paper is devoted to study the existence of periodic solutions of the second-order equation x" = f (t, x), where f is a CarathÃ©odory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the...

- HIGHER-ORDER BOUNDARY VALUE PROBLEMS FOR CARATHÃ‰ODORY DIFFERENTIAL INCLUSIONS. Aitalioubrahim, M.; Sajid, S. // Miskolc Mathematical Notes;2008, Vol. 9 Issue 1, p7
In this paper we prove existence results for boundary value problems for higher-order differential inclusion x(n) (t) Ïµ F(t, x (t)) with nonlocal boundary conditions, where F is a compact convex LÂ¹-CarathÃ©odory multifunction.

- ON THE RATE OF THE VOLUME GROWTH FOR SYMMETRIC VISCOUS HEAT-CONDUCTING GAS FLOWS WITH A FREE BOUNDARY. Zlotnik, Alexander // Abstract & Applied Analysis;2006, p1
The system of quasilinear equations for symmetric flows of a viscous heat-conducting gas with a free external boundary is considered. For global in time weak solutions having nonstrictly positive density, the linear in time two-sided bounds for the gas volume growth are established.

- Numerical analysis of reversible A ... B ... C reaction-diffusion systems. Koza, Z. // European Physical Journal B -- Condensed Matter;Apr2003, Vol. 32 Issue 4, p507
: We develop an effective numerical method of studying large-time properties of reversible reaction-diffusion systems of type A + B â†” C with initially separated reactants. Using it we find that there are three types of asymptotic reaction zones. In particular we show that the reaction...

- The Use of Phase-Lag and Amplification Error Integrators for the Numerical Solution of the Radial SchrÃ¶dinger Equation. Papadopoulos, D. F.; Anastassi, Z. A.; Simos, T. E. // AIP Conference Proceedings;9/30/2010, Vol. 1281 Issue 1, p1839
A new numerical method is developed, based on the combination of the nullification of the phase-lag and the amplification factor, along with the nullification of their antiderivatives.