Global bifurcation for nonlinear Dirac problems
نویسندگان
چکیده
منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Multiple global bifurcation branches for nonlinear Picard problems
In this paper we prove the global bifurcation theorem for the nonlinear Picard problem. The right-hand side function φ is a Caratheodory map, not differentiable at zero, but behaving in the neighbourhood of zero as specified in details below. We prove that in some interval [a, b] ⊂ R the Leray-Schauder degree changes, hence there exists the global bifurcation branch. Later, by means of some app...
متن کاملGlobal Bifurcation in Generic Systems of Nonlinear Sturm-liouville Problems
We consider the system of coupled nonlinear Sturm-Liouville boundary value problems L1u := −(p1u′)′ + q1u = μu + uf(·, u, v), in (0, 1), a10u(0) + b10u′(0) = 0, a11u(1) + b11u′(1) = 0, L2v := −(p2v′)′ + q2v = νv + vg(·, u, v), in (0, 1), a20v(0) + b20v′(0) = 0, a21v(1) + b21v′(1) = 0, where μ, ν are real spectral parameters. It will be shown that if the functions f and g are ‘generic’ then for ...
متن کاملNumerical Analysis for Nonlinear and Bifurcation Problems
PREFACE Computational applications generally involve nonlinear problems and often contain parameters. They may represent properties of the physical system they describe or quantities which can be varied. A basic problem in approximation consists in studying existence and convergence of approximated solutions for a given nonlinear problem, for instance when the parameters are xed. Another proble...
متن کاملGlobal bifurcation and continua of nonnegative solutions for some nonlinear elliptic eigenvalue type problems
In this note, we study the existence and multiplicity of solutions, strictly positive or nonnegative having a dead core (where the solution vanishes) of several nonlinear problems of eigenvalue type. 2000 Mathematics Subject Classification: 35J60, 35B52.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2016
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.46