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Existence and number of solutions to semilinear equations with applications to boundary-value problems.

Milojevic, P.S. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and positivity of solutions for a nonlinear periodic differential equation

Ernest Yankson (2012)

Archivum Mathematicum

We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.

Existence and regularity for semilinear parabolic evolution equations

Herbert Amann (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.

Lucie Baudouin (2005)

Revista Matemática Complutense

We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and...

Existence and sharp asymptotic behavior of positive decreasing solutions of a class [4pt] of differential systems with power-type nonlinearities

Jaroslav Jaroš, Kusano Takaŝi (2014)

Archivum Mathematicum

The system of nonlinear differential equations $x^{'} + p_{1} (t) x^{α_{1}} + q_{1} (t) y^{β_{1}} = 0, y^{'} + p_{2} (t) x^{α_{2}} + q_{2} (t) y^{β_{2}} = 0, A$ is under consideration, where $α_{i}$ and $β_{i}$ are positive constants and $p_{i} (t)$ and $q_{i} (t)$ are positive continuous functions on $[a, \infty)$ . There are three types of different asymptotic behavior at infinity of positive solutions $(x (t), y (t))$ of (). The aim of this paper is to establish criteria for the existence of solutions of these three types by means of fixed point techniques. Special emphasis is placed on those solutions with both components decreasing to zero as $t \to \infty$ , which can be...

Existence and stability of antiperiodic solution for a class of generalized neural networks with impulses and arbitrary delays on time scales.

Li, Yongkun, Xu, Erliang, Zhang, Tianwei (2010)

Journal of Inequalities and Applications [electronic only]

Existence and stability of periodic solutions for a nonlocal evolution population problem.

Maurizio Badii (2005)

RACSAM

The theory of maximal monotone operators is applied to prove the existence of weak periodic solutions for a nonlinear nonlocal problem. The stability of these solutions is a consequence of the Lipschitz continuous assumption on the diffusivity matrix and the death rate.

Existence and Stability of Periodic Solutions for Nonlinear Neutral Differential Equations with Variable Delay Using Fixed Point Technique

Mouataz Billah MESMOULI, Abdelouaheb Ardjouni, Ahcene Djoudi (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Our paper deals with the following nonlinear neutral differential equation with variable delay $\frac{d}{d t} D u_{t} (t) = p (t) - a (t) u (t) - a (t) g (u (t - τ (t))) - h (u (t), u (t - τ (t))) .$ By using Krasnoselskii’s fixed point theorem we obtain the existence of periodic solution and by contraction mapping principle we obtain the uniqueness. A sufficient condition is established for the positivity of the above equation. Stability results of this equation are analyzed. Our results extend and complement some results obtained in the work [Yuan, Y., Guo, Z.: On the existence and stability of...

Existence and stability of solutions for implicit multivalued vector equilibrium problems.

Wang, Sanhua, Li, Qiuying (2011)

Fixed Point Theory and Applications [electronic only]

Existence and uniqueness for a nonlinear dispersive equation.

Vera Villagrán, Octavio Paulo (2002)

Divulgaciones Matemáticas

Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.

Byszewski, Ludwik (1999)

Journal of Applied Mathematics and Stochastic Analysis

Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data

Lucio Boccardo, Thierry Gallouët, Luigi Orsina (1996)

Annales de l'I.H.P. Analyse non linéaire

Existence and uniqueness of mild solutions of second order Volterra integrodifferential equations with nonlocal conditions.

Tidke, Haribhau Laxman, Dhakne, Machindra Baburao (2009)

Applied Mathematics E-Notes [electronic only]

Existence and uniqueness of periodic solution for nonlinear second-order ordinary differential equations.

Zu, Jian (2011)

Boundary Value Problems [electronic only]

Existence and uniqueness of periodic solutions for a class of nonlinear equations with $p$ -Laplacian-like operators.

Ding, Hui-Sheng, Ye, Guo-Rong, Long, Wei (2010)

Advances in Difference Equations [electronic only]

Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments

Bingwen Liu (2006)

Annales Polonici Mathematici

We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).

Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument.

Wang, Gen-Qiang, Cheng, Sui Sun (2009)

International Journal of Mathematics and Mathematical Sciences

Existence and uniqueness of periodic solutions of mixed monotone functional differential equations.

Kang, Shugui, Cheng, Sui Sun (2009)

Abstract and Applied Analysis

Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems.

Mena, J.Caballero, Harjani, J., Sadarangani, K. (2009)

Boundary Value Problems [electronic only]

Existence and uniqueness of positive solution for a singular nonlinear second-order $m$ -point boundary value problem.

Lv, Xuezhe, Pei, Minghe (2010)

Boundary Value Problems [electronic only]

Currently displaying 3001 – 3020 of 11135

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