Saddle Points and Multiple Solutions of Differential Equations.
Scattered homoclinics to a class of time-recurrent Hamiltonian systems
A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.
Selected papers from the 10th international conference 2009 on nonlinear functional analysis and applications, Seoul, Korea, July 27--31, 2009.
Semi-Iterative Methods for the Approximate Solution of Ill-Posed Problems.
Semilinear evolution equations of second order via maximal regularity.
Semilinear perturbations of Hille-Yosida operators
The semilinear Cauchy problem (1) u’(t) = Au(t) + G(u(t)), , with a Hille-Yosida operator A and a nonlinear operator G: D(A) → X is considered under the assumption that ||G(x) - G(y)|| ≤ ||B(x -y )|| ∀x,y ∈ D(A) with some linear B: D(A) → X, , where V is of suitable small strong variation on some interval [0,ε). We will prove the existence of a semiflow on that provides Friedrichs solutions in L₁ for (1). If X is a Banach lattice, we replace the condition above by |G(x) - G(y)| ≤ Bv whenever...
Semilinear problems with a non-symmetric linear part having an infinite dimensional kernel.
Semilocal analysis of equations with smooth operators.
Semilocal convergence for Newton's method on a Banach space with a convergence structure and twice Fréchet differentiable operators.
Sensitivity analysis for relaxed cocoercive nonlinear quasivariational inclusions.
Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques.
Sensitivity analysis of extended general variational inequalities.
Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities.
Sets in the ranges of nonlinear accretive operators in Banach spaces
Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and . Then . If, moreover, Case (i) or (ii) holds and T is of type , or Case (iii) holds and T is of type , then M ⊂ TG. Various results of Morales,...
Shrinking projection method of common solutions for generalized equilibrium quasi--nonexpansive mapping and relatively nonexpansive mapping.
Small functions and iterative methods
Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.
Smooth bifurcation for a Signorini problem on a rectangle
We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. We describe smooth branches of smooth nontrivial solutions bifurcating from the trivial solution branch in eigenvalues of the linearized problem. In particular, the contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tools of the proof...
Solitary waves for some nonlinear Schrödinger systems
Solution Brances of a semilinear elliptic problem at corak-2 Bifurcation points.
Solution Manifolds and Submanifolds of Parametrized Equations and Their Discretization Errors.