Results 31 to 40 of about 1,452,798 (281)
Doubly-Periodic Solutions of the Class I Infinitely Extended Nonlinear Schrodinger Equation [PDF]
Doubly periodic solutions of the class-I infinitely extended
nonlinear Schrodinger equation Physical Review E 99, 5(2019) 1-7, 2020 We present doubly-periodic solutions of the infinitely extended nonlinear Schrodinger equation with an arbitrary number of higher-order terms and corresponding free real parameters. Solutions have one additional free variable parameter that allows to vary periods along the two axes.
arxiv +1 more source
On a fractional differential equation with infinitely many solutions [PDF]
, 2012 We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Băleanu, Dumitru +2 more
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Infinitely many solutions for Hamiltonian systems
Journal of Differential Equations, 2002 AbstractWe consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy solutions by minimax technique. If the systems possess sign-changing potential, we also establish an existence theorem of infinitely many solutions by Morse theory.
Wenming Zou, Shujie Li
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On Existence of Infinitely Many Homoclinic Solutions
Monatshefte f�r Mathematik, 2000 In this note we prove some sufficient condition for the existence of homoclinic solutions in nonautonomous ODE’s. As an application we show that there exist infinitely many (geometrically distinct) homoclinic solutions to the trivial 0 solution in the planar system $$$$
Wójcik, Klaudiusz, Zgliczyński, Piotr
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Infinitely Many Elliptic Solutions to a Simple Equation and Applications [PDF]
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems. First, we give some nonlinear iterated formulae of solutions and some elliptic function solutions to a simple auxiliary equation, which results in infinitely many ...
Long Wei, Yang Wang
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Infinitely many solutions for a mixed boundary value problem [PDF]
Annales Polonici Mathematici, 2010 The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
BONANNO, Gabriele, E. Tornatore
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Infinitely many positive solutions for a nonlocal problem with competing potentials
Boundary Value Problems, 2020 The present paper deals with a class of nonlocal problems. Under some suitable assumptions on the decay rate of the coefficients, we derive the existence of infinitely many positive solutions to the problem by applying reduction method.
Jing Yang
doaj +1 more source
Infinitely many periodic solutions for ordinary p(t)-Laplacian differential systems
Electronic Research Archive, 2022 In this paper, we consider the existence of infinitely many periodic solutions for some ordinary p(t)-Laplacian differential systems by minimax methods in critical point theory.
Chungen Liu, Yuyou Zhong
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Integrable subsystem of Yang--Mills dilaton theory [PDF]
, 2007 With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton.
A Wereszczyński +7 more
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Infinitely many solutions for a perturbed Schrödinger equation
Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015 We find multiple solutions for a nonlinear perturbed Schrodinger equation by means of the so--called Bolle's method.
BARTOLO, Rossella +2 more
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