[PDF] Top 20 On the exponential growth of solutions to non linear hyperbolic equations

... These equations appear in a mathematical model for the dynamics of gas absorption [i], and the main interest is to find solutions of exponential growth to a non-linear hyperbolic equatio[r] ... See full document

... nontrivial solutions for problem () in the general case N > ...nontrivial solutions for problem () in [] via the mountain pass theorem and a truncated ... See full document

... for non- linear hyperbolic equations, systems of nonlinear hyper- bolic equations and fourth-order linear hyperbolic equa- ... See full document

... a linear function of time, an exponential growth with time, and a sinusoidal function of time, and then obtained solutions to the wave equations in a time-dependent dynamic media in the ... See full document

... Porru, Boundary estimates for blow-up solutions of elliptic equations with exponential growth , to appear in Proceedings Di ff erential and Di ff erence Equations.. Porru, Higher order bou[r] ... See full document

... of solutions of the differential ...of solutions of second-order linear differential equations with entire ...of solutions of homogeneous linear differential equations with ... See full document

... Theorem 1.1 [5]: “If 𝐴(𝑧) and“ 𝐵("𝑧) are entire functions with“𝜌(𝐵) < 𝜌(𝐴) < ∞“and 𝑇 (𝑟, 𝐴)"~𝑙𝑜𝑔𝑀(𝑟; "𝐴) as“𝑟 → ∞“outside a set“𝐺“of finite logarithmic measure, then any non-constant solution of ... See full document

... In 8–10 , Yang studied the problem 1.1–1.3 and obtained global existence results under the growth assumptions on the nonlinear terms and initial data. These global existence results have been improved by Liu and ... See full document

... numerical solutions of the growth rate equations of an ecological commensalism interaction between two species with the help of classical Runge-Kutta method where as the commensal species has a ... See full document

... the growth of meromorphic solutions to homogeneous and non-homogeneous second order linear differential equations f 00 + Af 0 + Bf = F, where A (z) , B (z) and F (z) are meromorphic ... See full document

... Lemma 2.2 ([8]) Let f (z) be a non-constant meromorphic function with finite order σ. For any given ε > 0 and 0 < l < 1 2 , there exist a constant K (σ , ε) and a set E(ε) ⊂ [0, ∞) that satisfy the lower ... See full document

... the so lu tio n of (3*9) and 2^ (= 3«93) i s the corresponding eigenvalue. For ir© reasing ^ decays exponentially with time and » However num erically i t w ill not be possible to produce th is disturbance exactly, and ... See full document

... Proof of Theorem . Let f be a solution of (.), then f is a nonzero entire function. Using a similar proof to Step  in the proof of Theorem ., we obtain that σ (f ) ≥ n. Now we prove that σ(f ) = ∞ . Suppose that ... See full document

... = 1. Abu Muriefah [3] established that equation (1.1) with D = may have a solution only if 5 divides x and p does not divide k for any odd prime p dividing n. For related results concerning the case D = one may consult ... See full document

... some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section ... See full document

... In this is work he proved the existence of classical solution by iterative methods for the mixed problem associated to the equation... EXISTENCE OF WEAK SOLUTIONS FOR CAUCHY PROBLEMS.[r] ... See full document

... Remark 4.2. Under the assumptions of Theorem 4.1, to every fixed τ involved in the conditions, exactly one solution of problem (1.1), (1.2) corresponds; that is, the problem mentioned cannot have two different ... See full document

... periodic solutions for differential equations (a pseudo almost pe- riodic function is the sum of an almost periodic function and of an ergodic perturbation), but results about Eber- lein weak almost ... See full document

... Theorem A states that when σQ 1, 1.3 may have finite-order solutions. We go deep into the problem: what condition in Qz when σQ 1 will guarantee every solution f / ≡ 0 of 1.3 has infinite order? And more precise ... See full document

... Abstract—In this paper a Fuzzy Multi Objective LPP is first reduced to crisp Multi Objective LPP using ranking function. The crisp Multi Objective LPP is then solved by Zimmerman Technique using exponential ... See full document