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On the boundedness of some nonlinear differential equation of second order
(International Journal of Mathematics And its Applications, 2015-04)
In this paper we study the boundedness of the solutions of some nonlinear dofferential equation using as a key tool the Second Lyapunov method, i.e. find sufficient conditions under which the solutions of this equation are ...
On Elliptic equations with singular potentials and nonlinear boundary conditions
(2018-01-01)
We consider the Laplace equation in the half-space satisfying a nonlinear Neumann condition with boundary potential. This class of problems appears in a number of mathematical and physics contexts and is linked to fractional ...
On C-alpha-Holder classical solutions for non-autonomous neutral differential equations: The nonlinear case
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2014)
Multiplicity of solutions for a class of nonlinear second-order equations
(PERGAMON-ELSEVIER SCIENCE LTD, 1997)
The Duffing Equation: Nonlinear Oscillators and their Behaviour
(2011-03-03)
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications ...
Hypergeometric foundations of Fokker-Plank like equations
(Elsevier Science, 2016-05)
We discover a deep connection between the Fokker-Planck equation and the hypergeometric differential equation. The same applies to a nonlinear generalization of such equation.
The regularized Benjamin-Ono and BBM equations: Well-posedness and nonlinear stability
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
This work is concerned with the existence of monotone positive solutions for a class of beam equations with nonlinear boundary conditions. The results are obtained by using the monotone iteration method and they extend ...
Singularly perturbed biharmonic problems with superlinear nonlinearities
(Khayyam PublishingAthens, 2014)
We are interested in finding a family of solutions of a singularly perturbed biharmonic equation, which has a concentration behavior. The proof is based on variational methods and uses a weak version of the Ambrosetti-Rabinowitz ...
Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
(Molecular Diversity Preservation International, 2017-01)
Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There ...