SAN FRANCISCO -- When San Francisco Giants right-hander Jake Peavy woke up with a stiff neck earlier this week, he was reminded that he's every bit of 35 years old.

With that in mind, he was asked after outpitching 19-year-old Los Angeles Dodgers lefty Julio Urias in a 2-1 Giants win Sunday night if he'd like to be a teen-ager again.

"No thanks," he demanded.

And who's to argue? That's now 150 wins ago after the 15-year veteran reached the milestone at the expense of the Giants' rival in the nationally televised game.

"I revel in the opportunity to pitch in games like this," Peavy said of facing the Dodgers, against whom he's recorded 15 wins, the most of any LA opponent. "I showed up today thinking I was going to win."

The first-place Giants (38-26) won two of three in the matchup of the National League West's top two teams to take a five-game lead over the second-place Dodgers (33-31).

The teams won't meet again until Aug. 23.

"Big win for our ballclub," insisted Peavy, noting the Giants were two outs from losing the first two games of the series before rallying for a 5-4 win in the bottom of the ninth Saturday. "The momentum we took from that game was huge. We went from trying to salvage the series (Sunday) to having a chance to win the series."

Brandon Belt hit a two-run home run in the sixth inning to account for all of the scoring for the Giants, who recorded their fourth one-run win over the Dodgers this season.

Belt's homer, his eighth of the season, came after Joe Panik collected just the Giants' third hit off Urias, a one-out single.

Urias had struck out Belt in his first two at-bats.

"Obviously, I hadn't seen much," Belt responded when asked what he'd seen of Urias in their first two duels. "The third at-bat, I wanted to hunt for something -- look for something in the zone and try to get the fat part of the bat on it."

Urias (0-2) lost despite pitching his second consecutive outstanding game. He left after Belt's home run, having surrendered the two runs on four hits in 5 1/3 innings. He walked one and struck out seven.

"I felt today like I could put the pitches there. I felt really good," said Urias, who had limited the Colorado Rockies to three hits and one run over four innings in his previous start.

Of the fateful pitch to Belt, he added, "It was just a slider that stayed there."

Two runs were one too many on this night against Peavy and six Giants relievers, who combined to limit the Dodgers to six hits.

Peavy (3-6) did a majority of the work, shutting out the Dodgers on four hits over six innings. He walked one and struck out three.

Giants manager Bruce Bochy admitted he wasn't sure Peavy was going to be able to start because of the stiff neck until he showed up Sunday.

"What a great job," he gushed. "He's such a competitor. You know he's going to give you everything he's got."

Peavy walked away impressed with Urias.

"Nineteen years old ... he showed a lot of poise out there," Peavy observed. "He didn't seem in awe of anything."

Peavy went as far as to make a prediction about Urias' future.

"When you see a guy pitch 16 years later," he said, "you'll see a guy pitch completely different than he pitched today."

The Dodgers' lone run came via a one-out homer from Joc Pedersen in the seventh inning off the second Giants pitcher, right-hander Hunter Strickland.

The blast, Pedersen's ninth of the season, landed in the San Francisco Bay beyond the right-field wall, just the second "Splash Hit" recorded by a Giants opponent this season.

"We all are (disappointed); this was a big series. It was important to them, too," Dodgers manager Dave Roberts assured. "But there's nothing we can do about it now. Yeah, it stings for sure."

George Kontos, Josh Osich, Cory Gearrin, Javier Lopez and Santiago Casilla finished off the win with one-hit relief. Casilla retired both batters he faced to record his 13th save.

Brandon Crawford had a triple and a single for the Giants, who are 15-7 in one-run games this season and 24-13 against NL West opposition.

Chase Utley, who had been 1-for-17 in his career against Peavy, had three hits and Pedersen two for the Dodgers, who out-hit the Giants 6-5.

The game got a little chippy in the eighth after Dodgers third baseman Justin Turner was ejected by plate umpire Mike Muchlinski for arguing a called third strike that ended the inning.

Turner did not go quietly, pleading his case first with Muchlinski, and then with crew chief John Hirschbeck. Dodgers manager Dave Roberts also came out to give Muchlinski an earful.

It was the second ejection of Turner's career.

The arguments didn't resolve anything, but the Dodgers then got a measure of revenge when left-hander Adam Liberatore's first pitch of the bottom of the eighth deflected slightly off catcher A.J. Ellis' glove and hit Muchlinski in the right forearm.

The game was delayed several minutes while Muchlinski huddled with his fellow umpires, who wanted to make sure he was OK.

No action was taken against Liberatore or Ellis.

NOTES: Giants RHP Jake Peavy became just the sixth active pitcher to record 150 wins, joining New York Mets RHP Bartolo Colon (223), New York Yankees LHP CC Sabathia (218), Chicago Cubs RHP John Lackey (172), Detroit Tigers RHP Justin Verlander (163) and Arizona Diamondbacks RHP Zack Greinke (150). ... The Giants' 15th one-run win this season moved them into a tie with the Philadelphia Phillies for the most in the majors. ... The last time the Giants faced a teen-aged Dodgers starting pitcher, it was LHP Fernando Valenzuela on Sept. 30, 1980. ... The "Splash Hit" by Dodgers CF Joc Pedersen was the 108th in the 17-year history of AT&T Park. ... The Dodgers reported that RHP Brandon McCarthy (elbow surgery) and LHP Hyun-Jin Ryu (labrum surgery) made successful rehab starts for Class-A Rancho Cucamonga over the weekend. ... The Giants plan to activate RHP Matt Cain (strained right hamstring) from the disabled list on Monday and start him in the series opener against the Milwaukee Brewers on the fourth anniversary of his perfect game against the Houston Astros.