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Browder-krasnoselskii-type fixed point theorems in banach spaces
(Springer Nature, 2010-01-01)
We present some fixed point theorems for the sum A + B of a weakly-strongly continuous map and a nonexpansive map on a Banach space X. Our results cover several earlier works by Edmunds, Reinermann, Singh, and others.
Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals
(Division of Functional Equations, The Mathematical Society of Japan (JST), 2008-01-01)
The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x'(t))' + Phi(t)f(t,x,px') ...
Persistence and stationary distribution of a stochastic predator-prey model under regime switching
(American Institute of Mathematical Sciences (AIMS), 2017-02-01)
Taking both white noise and colored environment noise into account, a predator-prey model is proposed. In this paper, our main aim is to study the stationary distribution of the solution and obtain the threshold between ...
Existence and quasilinearization in banach spaces
(Elsevier BV, 2009-10-01)
Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument
(The Korean Mathematical Society, 2011-05-31)
We study the solvability of a perturbed quadratic functional-integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions defined, bounded ...
Singular integral equations and applications to nonlinear conjugate problems
(The Mathematical Society of the Republic of China, 2010-04-01)
In this paper, we establish the existence of multiple positive solutions for singular integral equations. The proof is based on a general existence principle established using a nonlinear alternative principle of Leray-Schauder ...
Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: the superdiffusive case
(American Institute of Mathematical Sciences (AIMS), 2010-08-01)
We consider a nonlinear elliptic equation of logistic type, driven by the p-Laplacian differential operator with a general superdiffusive reaction. We show that the equation exhibits a bifurcation phenomenon. Namely there ...
Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations
(International Scientific Research Publications MY SDN. BHD., 2017-07-27)
$c^{\alpha}$-hölder classical solutions for non-autonomous neutral differential equations
(American Institute of Mathematical Sciences (AIMS), 2010-09-01)
In this paper we discuss the existence of alpha-Holder classical solutions for non-autonomous abstract partial neutral functional differential equations. An application is considered.