Continuous dependence of solutions in magneto-elasticity theory.
Bofill, F., Quintanilla, R. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Displaying similar documents to “The method of a small parameter for the shallow shells.”
Continuous dependence of solutions in magneto-elasticity theory.
Conical differentiability for bone remodeling contact rod models
Isabel N. Figueiredo, Carlos F. Leal, Cecília S. Pinto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified...
Integral equations with contrasting kernels.
Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
On positive solutions of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1995)
Annales Polonici Mathematici
Similarity:
The differential equation of the form , 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.
Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators
Jiří Šremr (2007)
Mathematica Bohemica
Similarity:
We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.
Nonnegative solutions of a class of second order nonlinear differential equations
S. Staněk (1992)
Annales Polonici Mathematici
Similarity:
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.
Solutions to a three-point boundary value problem.
Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
Similarity:
Qualitative properties of nonlinear Volterra integral equations.
Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
A note on the existence of solutions to some nonlinear functional integral equations.
Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
On the relation between interior critical points of positive solutions and parameters for a class of nonlinear boundary value problems.
Afrouzi, G.A., Moghaddam, M.Khaleghy (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity: