A CANTILEVER EQUATION WITH NONLINEAR BOUNDARY CONDITIONS

By Gennaro Infante, Paolamaria Pietramala. 2009

69 citations recorded by the source corpus.

We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/d1be9ab9a02a6fc837ad787380b63f723d124a31

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In Applied Mathematics

1. Paolamaria Pietramala
2. Gennaro Infante
3. Christopher S. Goodrich
4. J. R. L. Webb
5. Arturas Stikonas
6. Filomena Cianciaruso
7. Lishan Liu
8. Yonghong Wu

In Control and Systems Engineering

1. Paolamaria Pietramala
2. Gennaro Infante
3. Arturas Stikonas

In Modeling and Simulation

1. Paolamaria Pietramala
2. Gennaro Infante
3. J. R. L. Webb

Citations in the corpus

• Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions (2013, background): “We point out that not necessarily the response of the controllers needs to be of linear type, for example this happens with conditions of the type u(0) = H(u(ξ)), u(1) = v(1) = v(0) = v(0) = 0, v(1) + L(u(η)) = 0; we refer to [20] for more details regarding the illustration of nonlinear controllers ”