Recently, for a scalar equation of ((P_{lambda})), Sim and Lee [21] established a new solution operator and proved an existence result by the global continuation theorem.
Using Leray-Schauder degree theory, we establish a new result on the existence of at least one positive periodic solution for our SIR model.
Using the monotone iterative technique, we establish a new existence result on the maximal and minimal solutions under suitable nonlinear growth conditions.
To prove the blow-up of solutions, we establish a new functional and consider the solution of the Bernoulli type equation.
Under the appropriate assumptions on nonlinear term, this paper is to establish a new and general result on the existence of positive solution to boundary value problem (1.4).
With the help of the theory of measure of noncompactness and a fixed point theorem of Darbo type, we establish a new existence theorem of mild solutions for the Cauchy problem above.
By using some asymptotic interaction of the ratios f ( t, u ) | u | p − 2 u and p ∫ 0 u f ( t, s ) d s | u | p with the Fučík spectrum of − ( ϕ p ( u ′ ) ) ′ related to periodic boundary condition, we establish a new existence theorem of periodic solutions for the one-dimensional p-Laplacian equation.
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We establish a new connection between L2ρ(Rd Rd)⊗L2ρ(Rd;Rd) valued solutions of backward doubly stochastic differential equations (BDSDEs) on infinite horizon and the stationary solutions of the SPDEs.
